Question

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

Answer 1

`\theta = 30^(\circ)`

Explanation:

Given:

Range:
`0^(\circ) \le \theta \le 90^(\circ)`

`Sin \theta = (1)/(2)`

Required

Find
`\theta`

`Sin \theta = (1)/(2)`

Take arcsin of both sides

`sin^(-1)(sin\theta) = sin^(-1)((1)/(2))`

`\theta = sin^(-1)((1)/(2))`

Using the sin table

`\theta = 30^(\circ)`