Chapter 8.4, Problem 34E

(a)

To determine

The equation of thetangent line to the graph of $y=\tan x$ at point $\left(0,0\right)$.

(b)

To determine

To graph: The function $y=\tan x$ in the interval $-\frac{\pi }{2}<x<\frac{\pi }{2}$ and draw the tangent line at point $\left(0,0\right)$.