lemniscateCos( z )

The lemniscate cosine of z in Math. A special case of the Jacobi delta amplitude function:

\[ \operatorname{cl}( z ) = \operatorname{dn}( z | 2 ) \]

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:

Related functions:   dn   lemniscateSin

Function category: elliptic functions