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The value of 2 sin 12 ° - sin 72 ° is

Options

  1. A5 1 - 3 4
  2. B1 - 5 8
  3. C3 1 - 5 2
  4. D3 1 - 5 4

Correct answer

D. 3 1 - 5 4

Step-by-step solution

To find ⇒ 2 sin 12 ° - sin 72 ⇒ sin 12 ° + sin 12 ° - sin 72 ⇒   sin 12 ° + 2 cos 42 ° sin - 30 ° ⇒ sin 12 ° - cos 42 ° ⇒   sin 12 ° - sin 48 ° ⇒ 2 cos 30 ° sin − 18 ° ⇒ − 3 sin 18 ° = − 3 5 − 1 4 = 3 1 − 5 4

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