If sinθ.sin 45° = sin 30° and θ is an acute angle, then 2θ is equal to:

Explanation

Given: sinθ .sin 45° = sin 30° Calculation: ⇒ sinθ .sin 45° = sin 30° ⇒ sinθ .1/√2 = 1/2 ⇒ sinθ = √2/2 ⇒ sinθ = 1/√2 ⇒ sinθ = sin 45° ⇒ θ = 45° ∴ 2θ = 90° The correct answer is 90°