$$\text { Find all values of } \theta \text {, if } \theta \text { is in the interval } \left[ 0,360 ^ { \circ } \right) \text { and has the given function value. }$$
-$\cot \theta = 1$
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

The cotangent function equals 1 at angles where the adjacent side and opposite side of a right triangle are equal, which occurs at $45 ^ { \circ }$ and $225 ^ { \circ }$ within the given interval.

- cot⁡θ=1\cot \theta = 1cotθ=1 A) 45∘45 ^ { \circ }45∘

- $\cot \theta = 1$ A) $45 ^ { \circ }$