Question

Computer plot graphs of sn u, cn u, and dn u, for several values of k, say, for example, $\mathit{k}\mathbf{=}\frac{\mathbf{1}}{\mathbf{4}}\mathbf{,}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{,}\frac{\mathbf{3}}{\mathbf{4}}\mathbf{,}\mathbf{0}\mathbf{.}\mathbf{9}\mathbf{,}\mathbf{0}\mathbf{.}\mathbf{99}\mathbf{.}$.Also plot 3D graphs of sn, cn, and dn as functions of u and k.

Short answer

The graphs are shown below.

Step-by-step solution

Given Information

The values,$k=\frac{1}{4},\frac{1}{2},\frac{3}{4},0.9,0.99.$

Definition of elliptic form.

Thegraph is a pictorial representation of the function.

Graph of sn u.

The graph is shown below

Graph of cn u.

The graph is shown below.

Graph of dn u.

The graph is shown below.

Hence, the solution is mentioned below.

The graphs are shown below.