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Mathematics

Solve the following equations for A, if :

3{\sqrt3} cot 2 A = 1

Trigonometric Identities

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Answer

3{\sqrt3} cot 2 A = 1

⇒ cot 2A = 13\dfrac{1}{\sqrt3}

⇒ cot 2A = cot 60°

So, 2A = 60°

⇒ A = 60°2\dfrac{60°}{2}

⇒ A = 30°

Hence, A = 30°.

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