Question

Find θ if 0° < θ ≤ 90°.

tan θ = sin 30° cos 60° + cos 30° sin 60°

Answer 1

Given:

0° < θ ≤ 90°

tan θ = sin 30° cos 60° + cos 30° sin 60°

= sin (30° + 60°)

= sin 90°

= 1

θ = 1    ... [In 0° < θ ≤ 90°, which gives]

θ = 45°