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Find the value of sin2A when tanA=16/63​

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Both sin (2A) and cos (2A) are derived from the double angle formula for the cosine: cos (2A) = cos2(A) − sin2(A) = cos2(A) − (1 − cos2A) = 2cos2(A) − 1. So, . If we now replace A by (1/2)A, and take the square root we get: .

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