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

Question

Quizplus · Accepted Answer

The sine function is negative in the third and fourth quadrants, corresponding to angles of $225^\circ$ and $315^\circ$, respectively.

Find All Values of , If Is in the Interval sin⁡θ=−22\sin \theta = - \frac { \sqrt { 2 } } { 2 }sinθ=−22​​

Find All Values of , If Is in the Interval $\sin \theta = - \frac { \sqrt { 2 } } { 2 }$