Evaluate the expression.
-$\cot \left( n \cdot 180 ^ { \circ } \right)$
A) -1
B) Undefined
C) 0
D) 1

Question

Quizplus · Accepted Answer

The cotangent function, $\cot(\theta)$, is undefined when its argument, $\theta$, is an integer multiple of $180^\circ$ because it corresponds to the angles where the sine function is zero, and cotangent is the reciprocal of the tangent function ($\cot(\theta) = \frac{1}{\tan(\theta)}$), which is undefined when $\tan(\theta) = 0$. Since $\tan(n \cdot 180^\circ) = 0$, $\cot(n \cdot 180^\circ)$ is undefined.

Evaluate the Expression cot⁡(n⋅180∘)\cot \left( n \cdot 180 ^ { \circ } \right)cot(n⋅180∘)

Evaluate the Expression $\cot \left( n \cdot 180 ^ { \circ } \right)$