Question

If sin 3θ = cos (θ − 6°), where (3θ) and (θ − 6°) are both acute angles, then the value of θ is

(a) 18°

(b) 24°

(c) 36°

(d) 30°

Answer 1

Given that,

…… (1)

We have to find θ

Here the angles (3θ) and (θ − 6) are acute angles and we know that

Therefore we can rewrite the equation (1) as

Therefore option is correct.