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22 November, 14:14

If (sin A) / (sin B) = p and (cos A) / (cos B) = q, find tan A and tan B

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  1. 22 November, 17:06
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    The answer:

    tan A = sin A) / cos A, but sin A) / (sin B) = p implies sin A = psin B, and

    cos A) / (cos B) = q implies cos A = q cos B

    so tan A = psin B / q cos B = p/q (tanB), so tanA = p/q tanB or tanB = q/p tanA
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