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If tan A equals a/a+1 and …

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If tan A equals a/a+1 and tanB=1/2a+1 find A+B

    • Posted by A A 7 years, 1 month ago

    CBSE > Class 11 > Mathematics
    • 1 answers

    Helly Patel 7 years, 1 month ago

    Here, tanA =a/a+1. And. TanB = 1/2a+1 A = tan–¹(a/a+1) B = tan –¹(1/2a+1) A+B = tan–¹(a/a+1) + tan–¹ (1/2a+1) = tan–¹[(a/a+1) + (1/2a+1) / 1 - (a/a+1)(1/2a+1)] = tan–¹(2a²+2a+1/2a²+2a+1) = tan –¹(1) = tan–¹[tan(π/4)] =π/4

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