Q. 33 - Calculus

Question

Find the smallest interval necessary to draw a complete graph of the functions in Exercises 33–38, and then graph each function using a graphing calculator or computer algebra system.

$r=\cos \left(2\theta /5\right)$

Step-by-Step Solution

Answer

The interval is $\left[0,10\mathrm{\pi }\right]$.

The required graph is as follows,

Step 1. Given information.

The polar equation is $r=\cos \left(2\theta /5\right)$.

Step 2 Explanation.

Cosine is even function. The graph of equation is symmetrical with respect to the origin. 

So the smallest interval to draw the graph is $\left[0,10\mathrm{\pi }\right]$.

Step 3. Graph.

The required graph is as follows,