Evaluate the following trigonometric function at the quadrantal angle, or state that the expression is undefined. $$ an \pi $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ an \pi=\square $$ B. $$ an \pi $$ is undefined.

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Evaluate the following trigonometric function at the quadrantal angle, or state that the expression is undefined. $$ 	an \pi $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ 	an \pi=\square $$ B. $$ 	an \pi $$ is undefined.

UpStudy AI · Accepted Answer

To evaluate $$ \tan \pi $$, we can use the definition of the tangent function in terms of sine and cosine:

$$
\tan \theta = \frac{\sin \theta}{\cos \theta}
$$

For $$ \theta = \pi $$:

$$
\sin \pi = 0
$$
$$
\cos \pi = -1
$$

Now, substituting these values into the tangent function:

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

Thus, the correct choice is:

A. $$ \tan \pi = 0 $$
A. $$ \tan \pi = 0 $$

Evaluate the following trigonometric function at the quadrantal angle, or state that the expression is undefined. \( \tan \pi \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \tan \pi=\square \) B. \( \tan \pi \) is undefined.

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