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Mathematics

Find value of x, if :

sin 3x = 2 sin 30° cos 30°

Trigonometric Identities

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Answer

Solving,

⇒ sin 3x = 2 sin 30° cos 30°

⇒ sin 3x = 2 ×12×32\times \dfrac{1}{2} \times \dfrac{\sqrt{3}}{2}

⇒ sin 3x = 32\dfrac{\sqrt{3}}{2}

⇒ sin 3x = sin 60°

⇒ 3x = 60°

⇒ x = 60°3\dfrac{60°}{3} = 20°.

Hence, x = 20°.

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