Question

−90°≤θ≤90°. find the value of θ in degrees.csc(\theta)=1
write your answer in simplified, rationalized form. do not round.
θ = □°

Explanation:

Step1: Recall csc - sin relationship

$\csc(\theta)=\frac{1}{\sin(\theta)}$

Step2: Set up equation

Since $\csc(\theta) = 1$, then $\frac{1}{\sin(\theta)}=1$, so $\sin(\theta)=1$.

Step3: Find $\theta$ in given range

In the range $- 90^{\circ}\leq\theta\leq90^{\circ}$, when $\sin(\theta)=1$, $\theta = 90^{\circ}$.

Answer:

$90$