Give the degree measure of .
-$\theta = \cot ^ { - 1 } ( \sqrt { 3 } )$
A) $- 30 ^ { \circ }$
B) $45 ^ { \circ }$
C) $30 ^ { \circ }$
D) $60 ^ { \circ }$

Question

Quizplus · Accepted Answer

The cotangent function is the reciprocal of the tangent function. $\cot(\theta) = \frac{1}{\tan(\theta)}$. For $\cot^{-1}(\sqrt{3})$, we are looking for an angle whose cotangent is $\sqrt{3}$, which corresponds to an angle of $30^\circ$, because $\tan(30^\circ) = \frac{1}{\sqrt{3}}$.

Give the Degree Measure of θ=cot⁡−1(3)\theta = \cot ^ { - 1 } ( \sqrt { 3 } )θ=cot−1(3​)

Give the Degree Measure of $\theta = \cot ^ { - 1 } ( \sqrt { 3 } )$