Solve the problem.
-For what numbers $\theta$ is $f ( \theta ) = \cot \theta$ not defined?
A) integral multiples of $\pi \left( 180 ^ { \circ } \right)$
B) all real numbers
C) odd multiples of $\pi \left( 180 ^ { \circ } \right)$
D) odd multiples of $\frac { \pi } { 2 } \left( 90 ^ { \circ } \right)$

Question

Quizplus · Accepted Answer

The cotangent function is not defined when the denominator is zero. The denominator of $f ( \theta ) = \cot \theta$ is $\sin \theta$. So, $f ( \theta )$ is not defined when $\sin \theta = 0$. The sine function is zero at integral multiples of $\pi$. So, $f ( \theta )$ is not defined at integral multiples of $\pi$.

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