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Mathematics

Calculate the value of A, if :

(sin A - 1) (2 cos A - 1) = 0

Trigonometric Identities

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Answer

(sin A - 1) (2 cos A - 1) = 0

⇒ (sin A - 1) = 0 and (2 cos A - 1) = 0

⇒ sin A = 1 and cos A = 12\dfrac{1}{2}

⇒ sin A = sin 90° and cos A = cos 60°

Hence, A = 90° and 60°.

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