Determine the signs of the given trigonometric functions of an angle in standard position with the given measure.
-$\sec \left( - 1 ^ { \circ } \right)$ and $\sin \left( - 1 ^ { \circ } \right)$
A) negative and negative
B) positive and negative
C) negative and positive
D) positive and positive

Question

Quizplus · Accepted Answer

The secant function is the reciprocal of the cosine function. Since $\cos(-1^\circ)$ is positive (as it lies in the fourth quadrant where cosine is positive), $\sec(-1^\circ)$ is also positive. The sine of an angle in the fourth quadrant is negative, so $\sin(-1^\circ)$ is negative.

Determine the Signs of the Given Trigonometric Functions of an Angle