Question

Solve the equation sin 2∅ = 2 sin∅, domain 0°≤ B ≤360°

0°
90°
180°
270°
360°

Answer 1

0°

Explanation:

`\because \sin \: 2 \theta = 2 \sin \theta \\ \therefore \: 2\sin \theta \: \cos \theta = 2 \sin \theta \\ \\ \therefore \: \cos \theta = (2 \sin \theta)/(2 \sin \theta) \\ \\ \therefore \: \cos \theta = 1 \\ \therefore \: \cos \theta =\cos0 \degree \\ \implies \: \huge \red { \boxed{\theta = 0 \degree}}`