Question

If tan theta =cos theta (30°+theta), find the value of theta

Answer 1

Correct Question

→ If tan∅ = cot(30° + ∅), find vale of theta (∅).

Solution

→ tan∅ = cot(30° + ∅) [Given]

Because cot(90° - ∅) = tan∅

→ tan∅ = tan[90°- (30° + ∅)]

Here, collectively ∅ = 30° + ∅

→ tan∅ = tan(60° - ∅)

→ tan∅ = tan60° - tan∅

→ 2tan∅ = tan60°

→ ∅ = 60°/2

→ ∅ = 30°

Answer

→ 30°