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

Question

Quizplus · Accepted Answer

The sine function is negative in the third and fourth quadrants. The angles $225^\circ$ and $315^\circ$ have a sine value of $-\frac{\sqrt{2}}{2}$.

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