Chapter 6.3, Problem 100E

(a)

To determine

To graph: The equation $y=\frac{2\tan \frac{x}{2}}{1+{\tan }^2\frac{x}{2}}$ in a $\left[-2\pi ,2\pi ,\frac{\pi }{2}\right]\text{ by }\left[-3,3,1\right]$ viewing rectangle then describe the graph using another equation.

(b)

To determine

To graph: The equation $\text{y=}\frac{\text{2tan}\frac{\text{x}}{\text{2}}}{{\text{1+tan}}^{\text{2}}\frac{\text{x}}{\text{2}}}$ in a $\left[-2\pi ,2\pi ,\frac{\pi }{2}\right]\text{ by }\left[-3,3,1\right]$ viewing rectangle then Verify that the two equations are equivalent.