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text-align: left"><span lang=EN-US>5</span> <span lang=EN-US style="font-family: [SO_GB2312">. S N҉Qpe[IN</span></span> <span lang=EN-US><span lang=EN-US style="font-family: [SO_GB2312">5.</span> The</span> <span lang=EN-US style="font-family: [SO_GB2312">definition of inverse trigonometric functions</span></span> </p><p class=MsoNormal> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US style="font-family:[SO_GB2312">[S N҉Qpev[INWN;N</span> <span lang=EN-US style="font-family:[SO_GB2312">[Domain and inverse trigonometric functions of the main range of values]</span></span> </p><table border=1 cellspacing=0 cellpadding=0 style=" border-collapse:collapse;border:none;mso-border-alt:solid windowtext .5pt; mso-padding-alt:0cm 5.4pt 0cm 5.4pt"><tr><td width=95 valign=top style="width:70.9pt;border:solid windowtext .5pt; border-left:none;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">Qpe</span></span> <span style="font-family:[SO_GB2312">Function</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=236 valign=top style="width:177.2pt;border:solid windowtext .5pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">;N</span> <span style="font-family:[SO_GB2312">Main value mark</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=142 valign=top style="width:106.3pt;border:solid windowtext .5pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">[INW</span></span> <span style="font-family:[SO_GB2312">Domain</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=170 valign=top style="width:127.55pt;border-top:solid windowtext .5pt; border-left:none;border-bottom:solid windowtext .5pt;border-right:none; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">;N</span> <span style="font-family:[SO_GB2312">Main value range</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td></tr><tr><td width=95 style="width:70.9pt;border:none;border-right:solid windowtext .5pt; mso-border-top-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">Sck&_</span></span> <span style="font-family:[SO_GB2312">Arcsine</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=236 style="width:177.2pt;border:none;border-right:solid windowtext .5pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"></span></span> <span style="font-family:[SO_GB2312">If the</span></span> <sub><span style="font-family:[SO_GB2312"><span lang=EN-US><img width=60 height=21 src=./5.files/image002.gif v:shapes=_x0000_i1041 align=absmiddle></span></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"><span lang=EN-US> R</span></span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US>Then</span></span></span> <sub><span style="font-family:[SO_GB2312"><span lang=EN-US><img width=73 height=21 src=./5.files/image004.gif v:shapes=_x0000_i1042 align=absmiddle></span></span></sub> </p></td><td width=142 style="width:106.3pt;border:none;border-right:solid windowtext .5pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <sub><span lang=EN-US style="font-family:[SO_GB2312"><img width=67 height=19 src=./5.files/image006.gif v:shapes=_x0000_i1043></span></sub> </p></td><td width=170 style="width:127.55pt;border:none;mso-border-top-alt:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <sub><span lang=EN-US style="font-family:[SO_GB2312"><img width=84 height=41 src=./5.files/image008.gif v:shapes=_x0000_i1044></span></sub> </p></td></tr><tr><td width=95 style="width:70.9pt;border:none;border-right:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">SYO&_</span></span> <span style="font-family:[SO_GB2312">Inverse cosine</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=236 style="width:177.2pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"></span></span> <span style="font-family:[SO_GB2312">If the</span></span> <sub><span style="font-family:[SO_GB2312"><span lang=EN-US><img width=63 height=17 src=./5.files/image010.gif v:shapes=_x0000_i1045 align=absmiddle></span></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"><span lang=EN-US> R</span></span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US>Then</span></span></span> <sub><span style="font-family:[SO_GB2312"><span lang=EN-US><img width=75 height=21 src=./5.files/image012.gif v:shapes=_x0000_i1046 align=absmiddle></span></span></sub> </p></td><td width=142 style="width:106.3pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <sub><span lang=EN-US style="font-family:[SO_GB2312"><img width=67 height=19 src=./5.files/image014.gif v:shapes=_x0000_i1047></span></sub> </p></td><td width=170 style="width:127.55pt;border:none;mso-border-left-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <sub><span lang=EN-US style="font-family:[SO_GB2312"><img width=64 height=21 src=./5.files/image016.gif v:shapes=_x0000_i1048></span></sub> </p></td></tr><tr><td width=95 style="width:70.9pt;border:none;border-right:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">SckR</span></span> <span style="font-family:[SO_GB2312">Arctangent</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=236 style="width:177.2pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center><span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"></span></span> <span style="font-family:[SO_GB2312">If the</span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=61 height=20 src=./5.files/image018.gif v:shapes=_x0000_i1049 align=absmiddle></span></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US><span style="font-family:[SO_GB2312"> R</span></span></span> <span lang=EN-US><span style="font-family:[SO_GB2312">Then</span></span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=81 height=21 src=./5.files/image020.gif v:shapes=_x0000_i1050 align=absmiddle></span></span></sub> </p></td><td width=142 style="width:106.3pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=80 height=15 src=./5.files/image022.gif v:shapes=_x0000_i1051></sub></span> </p></td><td width=170 style="width:127.55pt;border:none;mso-border-left-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=84 height=41 src=./5.files/image024.gif v:shapes=_x0000_i1052></sub></span> </p></td></tr><tr><td width=95 style="width:70.9pt;border:none;border-right:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">SYOR</span></span> <span style="font-family:[SO_GB2312">Anti cotangent</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=236 style="width:177.2pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"></span></span> <span style="font-family:[SO_GB2312">If the</span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=61 height=20 src=./5.files/image026.gif v:shapes=_x0000_i1053 align=absmiddle></span></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US><span style="font-family:[SO_GB2312"> R</span></span></span> <span lang=EN-US><span style="font-family:[SO_GB2312">Then</span></span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=83 height=20 src=./5.files/image028.gif v:shapes=_x0000_i1054 align=absmiddle></span></span></sub> </p></td><td width=142 style="width:106.3pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=80 height=15 src=./5.files/image029.gif v:shapes=_x0000_i1055></sub></span> </p></td><td width=170 style="width:127.55pt;border:none;mso-border-left-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=64 height=21 src=./5.files/image031.gif v:shapes=_x0000_i1056></sub></span> </p></td></tr><tr><td width=95 style="width:70.9pt;border:none;border-right:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">SckrR</span></span> <span style="font-family:[SO_GB2312">Anyway, to cut</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=236 style="width:177.2pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"></span></span> <span style="font-family:[SO_GB2312">If the</span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=61 height=17 src=./5.files/image033.gif v:shapes=_x0000_i1057 align=absmiddle></span></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US><span style="font-family:[SO_GB2312"> R</span></span></span> <span lang=EN-US><span style="font-family:[SO_GB2312">Then</span></span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=83 height=17 src=./5.files/image035.gif v:shapes=_x0000_i1058 align=absmiddle></span></span></sub> </p></td><td width=142 style="width:106.3pt;border:none;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=80 height=21 src=./5.files/image037.gif v:shapes=_x0000_i1059></sub></span> </p></td><td width=170 style="width:127.55pt;border:none;mso-border-left-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=71 height=21 src=./5.files/image039.gif v:shapes=_x0000_i1060></sub></span> </p></td></tr><tr><td width=95 style="width:70.9pt;border-top:none;border-left:none;border-bottom: solid windowtext .5pt;border-right:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">SYOrR</span></span> <span style="font-family:[SO_GB2312">Cosecant</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p></td><td width=236 style="width:177.2pt;border-top:none;border-left:none; border-bottom:solid windowtext .5pt;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312"></span></span> <span style="font-family:[SO_GB2312">If the</span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=61 height=17 src=./5.files/image041.gif v:shapes=_x0000_i1061 align=absmiddle></span></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US><span style="font-family:[SO_GB2312"> R</span></span></span> <span lang=EN-US><span style="font-family:[SO_GB2312">Then</span></span></span> <sub><span lang=EN-US><span style="font-family:[SO_GB2312"><img width=83 height=17 src=./5.files/image043.gif v:shapes=_x0000_i1062 align=absmiddle></span></span></sub> </p></td><td width=142 style="width:106.3pt;border-top:none;border-left:none; border-bottom:solid windowtext .5pt;border-right:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=80 height=21 src=./5.files/image044.gif v:shapes=_x0000_i1063></sub></span> </p></td><td width=170 style="width:127.55pt;border:none;border-bottom:solid windowtext .5pt; mso-border-left-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=89 height=45 src=./5.files/image046.gif v:shapes=_x0000_i1064></sub></span> </p></td></tr></table><p class=MsoNormal> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">N,S N҉QpeN;N</span> <span style="font-family:[SO_GB2312">General relationship with the principal value of the inverse trigonometric functions</span></span> <span style="font-family:[SO_GB2312"><span lang=EN-US></span></span> </p><p class=MsoNormal align=center style=text-align:center> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=196 height=70 src=./5.files/image048.gif v:shapes=_x0000_i1069></sub></span> </p><p class=MsoNormal> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">_-N<i style="mso-bidi-font-style: normal"><span lang=EN-US>n</span></i>:NNatepe<span lang=EN-US>.</span></span></span> <span style="font-family:[SO_GB2312">Wherein <i style="mso-bidi-font-style: normal"><span lang=EN-US>n</span></i> is an arbitrary <span lang=EN-US>integer.</span></span></span> </p><p class=MsoNormal> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US style="font-family:[SO_GB2312">[S N҉QpevVb_Nyr_]</span></span> <span lang=EN-US style="font-family:[SO_GB2312">[Graphics and features inverse trigonometric]</span></span> </p><p class=MsoNormal> <span lang=EN-US style="font-family: [SO_GB2312"><span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US style="font-family: [SO_GB2312">Sck&_f~</span></span> <span lang=EN-US style="font-family: [SO_GB2312">Arc sine curve</span></span> <span lang=EN-US style="font-family: [SO_GB2312"><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US style="font-family: [SO_GB2312">SYO&_f~</span></span> <span lang=EN-US style="font-family: [SO_GB2312">Inverse cosine curve</span></span> </p><p class=MsoNormal> <span lang=EN-US style="font-family:[SO_GB2312"><sub><img width=80 height=21 src=./5.files/image050.gif v:shapes=_x0000_i1070></sub> <span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span> <sub><img width=81 height=17 src=./5.files/image052.gif v:shapes=_x0000_i1071></sub></span> </p><p class=MsoNormal> <span lang=EN-US style="font-family:[SO_GB2312"><img width=151 height=217 src=./5.files/image054.jpg v:shapes=_x0000_i1072><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><img width=136 height=243 src=./5.files/image056.jpg v:shapes=_x0000_i1073></span> </p><p class=MsoNormal> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style="font-family:[SO_GB2312">bp Tf~[y-N_ </span></span> <span style="font-family:[SO_GB2312">Inflection (with the curve center of symmetry):</span></span> <span lang=EN-US><span style="font-family:[SO_GB2312"><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span lang=EN-US><span style="font-family:[SO_GB2312">bp Tf~[y-N_ </span></span></span> <span lang=EN-US><span style="font-family:[SO_GB2312">Inflection (with the curve center of symmetry):</span></span></span> </p><p class=MsoNormal> <sub><span lang=EN-US><img width=47 height=21 src=./5.files/image058.gif v:shapes=_x0000_i1074 align=absmiddle></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'> 勹pR~es:N</span> <span lang=EN-US>1</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'>The slope of</span> <span lang=EN-US>a</span> <span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'>tangent point</span></span> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style=mso-tab-count:1>&nbsp;&nbsp;&nbsp; </span> <sub><img width=53 height=41 src=./5.files/image060.gif v:shapes=_x0000_i1075 align=absmiddle></sub></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'> 勹pR~es:N </span> <span lang=EN-US>1</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'>The slope of the tangent point -</span> <span lang=EN-US>1</span></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>SckRf~</span></span> <span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Arc tangent curve</span></span> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;</span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>SYORf~</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Anti cotangent curve</span></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp; </span> <sub><img width=81 height=20 src=./5.files/image062.gif v:shapes=_x0000_i1076></sub> <span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span> <sub><img width=83 height=20 src=./5.files/image064.gif v:shapes=_x0000_i1077></sub></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><img width=199 height=189 src=./5.files/image066.jpg v:shapes=_x0000_i1078><span style="mso-spacerun: yes">&nbsp;</span><span style=mso-tab-count:1>&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><img width=181 height=188 src=./5.files/image068.jpg v:shapes=_x0000_i1079></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>bp Tf~[y-N_ </span></span> <span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Inflection (with the curve center of symmetry):</span></span> <span lang=EN-US><span style=mso-tab-count:1>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>bp</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Inflection point:</span></span> </p><p class=MsoNormal> <sub><span lang=EN-US><img width=47 height=21 src=./5.files/image069.gif v:shapes=_x0000_i1080 align=absmiddle></span></sub> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'> 勹pR~es:N</span> <span lang=EN-US>1</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'>The slope of</span> <span lang=EN-US>a</span> <span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'>tangent point</span></span> <span lang=EN-US><span style="mso-tab-count: 1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span> <sub><img width=53 height=41 src=./5.files/image070.gif v:shapes=_x0000_i1081 align=absmiddle></sub></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'> 勹pR~es:N </span> <span lang=EN-US>1</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family: "Times New Roman"'>The slope of the tangent point -</span> <span lang=EN-US>1</span></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>nۏ~</span></span> <span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Asymptote:</span></span> <span lang=EN-US><sub><img width=55 height=41 src=./5.files/image072.gif v:shapes=_x0000_i1082 align=absmiddle></sub> <span style=mso-tab-count:1>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>f~[y-N_</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Curves center of symmetry:</span></span> <sub><span lang=EN-US><img width=53 height=41 src=./5.files/image074.gif v:shapes=_x0000_i1083 align=absmiddle></span></sub> </p><p class=MsoNormal><span lang=EN-US><span style=mso-tab-count:1>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>nя~</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Asymptote:</span></span> <sub><span lang=EN-US><img width=87 height=21 src=./5.files/image076.gif v:shapes=_x0000_i1084 align=absmiddle></span></sub> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>SckrRf~</span></span> <span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Anyway, to cut the curve</span></span> <span lang=EN-US><span style=mso-tab-count:1>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>SYOrRf~</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Cosecant curve</span></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp; </span> <sub><img width=83 height=17 src=./5.files/image078.gif v:shapes=_x0000_i1085></sub> <span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span> <sub><img width=83 height=17 src=./5.files/image080.gif v:shapes=_x0000_i1086></sub></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><img width=222 height=207 src=./5.files/image082.jpg v:shapes=_x0000_i1087><span style=mso-tab-count:1> </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><img width=208 height=201 src=./5.files/image084.jpg v:shapes=_x0000_i1088></span> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>vp</span></span> <span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Vertex:</span></span> <span lang=EN-US><sub><img width=111 height=21 src=./5.files/image086.gif v:shapes=_x0000_i1065 align=absmiddle></sub> <span style=mso-tab-count:1>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>vp</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Vertex:</span></span> <sub><span lang=EN-US><img width=129 height=41 src=./5.files/image088.gif v:shapes=_x0000_i1066 align=absmiddle></span></sub> </p><p class=MsoNormal> <span lang=EN-US><span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>nя~</span></span> <span style='font-family: [SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Asymptote:</span></span> <span lang=EN-US><sub><img width=43 height=41 src=./5.files/image090.gif v:shapes=_x0000_i1067 align=absmiddle></sub> <span style=mso-tab-count:1>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>nя~</span></span> <span style='font-family:[SO_GB2312;mso-ascii-font-family:"Times New Roman"'>Asymptote:</span></span> <sub><span lang=EN-US><img width=37 height=21 src=./5.files/image092.gif v:shapes=_x0000_i1068 align=absmiddle></span></sub> </p></div></body> <script>_addload(function(){_setupIW();_csi('zh-CN','en','http://drhuang.com/chinese/science/mathematics/handbook/a245/a245.htm');});</script></html>