Find all values of θ, if θ is in the interval [0, 360°) and has the given function value.
-$\tan \theta = 1$
A) $45 ^ { \circ }$ and $315 ^ { \circ }$
B) $225 ^ { \circ }$ and $315 ^ { \circ }$
C) $45 ^ { \circ }$ and $225 ^ { \circ }$
D) $135 ^ { \circ }$ and $225 ^ { \circ }$

Question

Quizplus · Accepted Answer

The tangent function equals 1 at angles where the sine and cosine values are equal in magnitude but not necessarily in sign. This occurs at $45^\circ$ and $225^\circ$ within the given interval.

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