Question

evaluate the following trigonometric function at the quadrantal angle, or state that the expression is undefined. tan 0 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. tan 0 = b. tan 0 is undefined.

Explanation:

Step1: Recall tangent formula

The tangent function is defined as $\tan\theta=\frac{\sin\theta}{\cos\theta}$.

Step2: Evaluate at $\theta = 0$

When $\theta = 0$, $\sin0 = 0$ and $\cos0=1$. Then $\tan0=\frac{\sin0}{\cos0}=\frac{0}{1}$.

Step3: Calculate the value

$\frac{0}{1}=0$.

Answer:

A. $\tan0 = 0$