1.

What is the value of 2sin10°.sin50°.sin70°?1. 1/82. 1/103. 1/64. 1/4

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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