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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° |
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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° |
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