Find all values of θ, if θ is in the interval [0, 360°) and has the given function value.
-$\sec \theta = - \sqrt { 2 }$
A) $45 ^ { \circ }$ and $225 ^ { \circ }$
B) $135 ^ { \circ }$ and $225 ^ { \circ }$
C) $45 ^ { \circ }$ and $315 ^ { \circ }$
D) $225 ^ { \circ }$ and $315 ^ { \circ }$

Question

Quizplus · Accepted Answer

$\sec \theta = - \sqrt { 2 }$ corresponds to $\cos \theta = - \frac{1}{\sqrt{2}}$, which occurs at $135 ^ { \circ }$ and $225 ^ { \circ }$ within the given interval.

Find All Values of θ, If θ Is in the Interval