The Jacobi elliptic cosine function of z and parameter m in Math. Defined as the cosine of the Jacobi amplitude:
\[ \operatorname{cn}( u | m ) = \cos [ \operatorname{am}( u | m ) ] \]Note that all Jacobi elliptic functions in Math use the parameter rather than the elliptic modulus k, which is related to the parameter by \( m = k^2 \).
Real part on the real axis:
Imaginary part on the real axis is zero.
Real part on the imaginary axis:
Imaginary part on the imaginary axis is zero.
Real part on the complex plane:
Imaginary part on the complex plane:
Absolute value on the complex plane:
Function category: elliptic functions