Question

use the unit circle to find the value of tan π and even or odd trigonometric functions to find the value of tan( - π). select the correct choice below and fill in any answer boxes within your choice. a. tan π = (type an exact answer, using radicals as needed. simplify your answer. rationalize the denominator.) b. the expression is undefined.

Explanation:

Step1: Recall tangent formula

The formula for $\tan\theta=\frac{\sin\theta}{\cos\theta}$. For $\theta = \pi$, on the unit - circle, the coordinates of the point corresponding to $\theta=\pi$ are $(- 1,0)$. Since $\sin\pi = 0$ and $\cos\pi=-1$.

Step2: Calculate $\tan\pi$

$\tan\pi=\frac{\sin\pi}{\cos\pi}=\frac{0}{-1}=0$.

Answer:

A. $\tan\pi = 0$