Question

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

Explanation:

Step1: Recall cotangent definition

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

Step2: Evaluate cosine and sine at $\pi$

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

Step3: Calculate cotangent

$\cot\pi=\frac{\cos\pi}{\sin\pi}=\frac{-1}{0}$, division by zero is undefined.

Answer:

B. The expression is undefined.