1.

In Sin3θ = cos(θ - 26°), where 3θ and (θ - 26°) are acute angles, then value of θ 1. 30°2. 27°3. 26°4. 29°

Answer» Correct Answer - Option 4 : 29°

Given

sin 3θ = cos(θ - 26°)

Formula Used 

sinθ = cos(90° - θ)

cos θ = sin(90° - θ)

Calculation 

sin 3θ = sin [90° - (θ - 26°)]

⇒ 3θ = 90° - (θ - 26°)

⇒ 4θ = 116° 

⇒ θ = 29° 

∴ The answer is 29° 



Discussion

No Comment Found

Related InterviewSolutions