Find the angle $\theta$ (if it exists) in the interval $\left[ 0 ^ { \circ } , 90 ^ { \circ } \right.$ ) for which $\tan \theta = \cot \theta$.
A) $\theta = 30 ^ { \circ }$
B) $\theta = 45 ^ { \circ }$
C) $\theta = 60 ^ { \circ }$
D) No such angle exists.

Question

Quizplus · Accepted Answer

The equation $\tan \theta = \cot \theta$ simplifies to $\tan \theta = \frac{1}{\tan \theta}$, which holds true when $\tan \theta = 1$. This occurs at $\theta = 45^\circ$.

Find the Angle θ\thetaθ (If It Exists) in the Interval [0∘,90∘\left[ 0 ^ { \circ } , 90 ^ { \circ } \right.[0∘,90∘

Find the Angle $\theta$ (If It Exists) in the Interval $\left[ 0 ^ { \circ } , 90 ^ { \circ } \right.$