Question

Solve the following equation for 0° ≤ θ < 360°, giving each answer in degrees:sin(θ) =1/4

Answer 1

We have the next equation

`\sin (\theta)=(1)/(4)`

We will isolate the theta

`\theta=\sin ^(-1)((1)/(4))`
`\theta=14.48\text{\degree}`

For the next solution

`\theta=180-14.48=165.52\text{\degree}`

ANSWER

θ=14.48°

θ=165.52°