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Mathematics

If 2sin 3A - 1 = 0 ; the value of angle A is :

  1. 20°

  2. 60°

  3. 10°

  4. 30°

Trigonometric Identities

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Answer

2sin 3A - 1 = 0

⇒ 2sin 3A = 1

⇒ sin 3A = 12\dfrac{1}{2}

⇒ sin 3A = sin 30°

So, 3A = 30°

⇒ A = 30°3\dfrac{30°}{3}

⇒ A = 10°

Hence, option 3 is the correct option.

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