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In the problem, sin θ and cos θ are given. Find the exact value of the indicated trigonometric function.
-$\sin \theta = \frac { 1 } { 4 } , \cos \theta = \frac { \sqrt { 15 } } { 4 } \quad$ Find $\cot \theta$
A) $\frac { 4 \sqrt { 15 } } { 15 }$
B) 4
C) $\frac { \sqrt { 15 } } { 15 }$
D) $\sqrt { 15 }$

Question

Quizplus · Accepted Answer

The cotangent function is the reciprocal of the tangent function, which is sin θ / cos θ. Thus, $\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{\frac{\sqrt{15}}{4}}{\frac{1}{4}} = \sqrt{15}$.

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