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Mathematics

Find value of x, if :
sin 2x = 2 sin 45° cos 45°

Trigonometric Identities

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Answer

Solving,

⇒ sin 2x = 2 sin 45° cos 45°

⇒ sin 2x = $2 \times \dfrac{1}{\sqrt{2}} \times \dfrac{1}{\sqrt{2}}$

⇒ sin 2x = 1

⇒ sin 2x = sin 90°

⇒ 2x = 90°

⇒ x = $\dfrac{90°}{2}$ = 45°.

Hence, x = 45°.

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