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Mathematics

Calculate the value of A, if :
(cosec 2A - 2) (cot 3A - 1) = 0

Trigonometric Identities

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Answer

(cosec 2A - 2) (cot 3A - 1) = 0

⇒ cosec 2A - 2 = 0 and cot 3A - 1 = 0

⇒ cosec 2A = 2 and cot 3A = 1

⇒ cosec 2A = cosec 30° and cot 3A = cot 45°

So, 2A = 30° and 3A = 45°

⇒ A = $\dfrac{30°}{2} = 15°$ and A = $\dfrac{45°}{3} = 15°$

Hence, A = 15°.

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