Question

4sinθ – 1 = - 3 for 0<θ< 360

Answer 1

`\theta = 210^\circ` or
`\theta = 330^\circ`

Explanation:

`4 \sin \theta - 1 = -3`

`4 \sin \theta = -2`

`\sin \theta = (-2)/(4)`

`\sin \theta = -0.5`

For sin θ = 0.5, the reference angle is θ = 30 deg.

`\sin 30^\circ = 0.5`

`\theta = 210^\circ` or
`\theta = 330^\circ`