Give the degree measure of .
-$$\theta = \sec ^ { - 1 } ( - \sqrt { 2 } )$$
A) $120 ^ { \circ }$
B) $45 ^ { \circ }$
C) $315 ^ { \circ }$
D) $135 ^ { \circ }$

Question

Quizplus · Accepted Answer

The secant function is the reciprocal of the cosine function. The value of $\sec(\theta) = -\sqrt{2}$ corresponds to $\cos(\theta) = -\frac{1}{\sqrt{2}}$, which occurs at an angle of $135^\circ$ in the unit circle, where both sine and cosine are negative.

Give the Degree Measure of θ=sec⁡−1(−2)\theta = \sec ^ { - 1 } ( - \sqrt { 2 } )θ=sec−1(−2​)

Give the Degree Measure of $\theta = \sec ^ { - 1 } ( - \sqrt { 2 } )$