Determine the signs of the given trigonometric functions of an angle in standard position with the given measure.
-$\csc \left( - 122 ^ { \circ } \right)$ and $\cot \left( - 122 ^ { \circ } \right)$
A) positive and positive
B) positive and negative
C) negative and negative
D) negative and positive

Question

Quizplus · Accepted Answer

The angle $-122^\circ$ is in the third quadrant when drawn in standard position (since it's a negative angle, we measure it clockwise from the positive x-axis). In the third quadrant, $\csc$ (reciprocal of $\sin$) is negative because $\sin$ is negative, and $\cot$ (reciprocal of $\tan$) is positive because $\tan$ is positive.

Determine the Signs of the Given Trigonometric Functions of an Angle