sn( z, m )

The Jacobi elliptic sine function of z and parameter m in Math. Defined as the sine of the Jacobi amplitude:

Note that all Jacobi elliptic functions in Math use the parameter rather than the elliptic modulus k, which is related to the parameter by $m = k^2$.

sn(x,m) in complex plane

Real part on the real axis:

Imaginary part on the real axis is zero.

Real part on the imaginary axis is zero.

Imaginary part on the imaginary axis:

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Related functions:   am   cn   dn

Function category: elliptic functions