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Mathematics

Solve the following equations for A, if :

2 cos 2 A = 1

Trigonometric Identities

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Answer

2 cos 2 A = 1

⇒ cos 2A = 12\dfrac{1}{2}

⇒ cos 2A = cos 60°

So, 2A = 60°

⇒ A = 60°2\dfrac{60°}{2}

⇒ A = 30°

Hence, A = 30°.

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