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What is the value of 2sin10°.sin50°.sin70°?1. 1/82. 1/103. 1/64. 1/4 |
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Answer» Correct Answer - Option 4 : 1/4 GIVEN: 2sin10°.sin50°.sin70° FORMULA: (sin3θ)/4 = sin θ. sin(60° - θ).sin(60° + θ) CALCULATION: 2sin10°.sin50°.sin70° ⇒ 2sin10°.sin(60° - 10°).sin(60° + 10°) ⇒ 2(sin3(10°))/4 ⇒ (sin30°)/2 ⇒ (1/2)/2 ⇒ 1/4 ∴ The value is 1/4. |
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