Question

-90° < θ < 90°. find the value of θ in degrees.
tan(θ) = 0
write your answer in simplified, rationalized form. do not round.
θ = □°

Explanation:

Step1: Recall tangent - angle relationship

We know that $\tan\theta=\frac{\sin\theta}{\cos\theta}$. When $\tan\theta = 0$, then $\sin\theta=0$ (since $\cos\theta
eq0$ in the domain $- 90^{\circ}<\theta<90^{\circ}$).

Step2: Find the angle in the given domain

The angles $\theta$ for which $\sin\theta = 0$ and $-90^{\circ}<\theta<90^{\circ}$ is $\theta = 0^{\circ}$.

Answer:

$0$