Question

Find the measure of the angle, θ, where 0° ≤ θ ≤ 90°. sinθ = 1/2

Answer 1

Answer:

$\theta = 30^{\circ}$

Step-by-step explanation:

Given:

Range: $0^{\circ} \le \theta \le 90^{\circ}$

$Sin \theta = \frac{1}{2}$

Required

Find $\theta$

$Sin \theta = \frac{1}{2}$

Take arcsin of both sides

$sin^{-1}(sin\theta) = sin^{-1}(\frac{1}{2})$

$\theta = sin^{-1}(\frac{1}{2})$

Using the sin table

$\theta = 30^{\circ}$