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10 January, 09:11

Sinx/1+cosx = cscx-cotx prove ls=rs

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  1. 10 January, 11:25
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    L S = sin x / (1 + cos x) * (1 - cos x) / (1 - cos x) =

    = sin x (1 - cos x) / (1 - cos² x) =

    = (sin x - sin x cos x) / sin² x =

    = sin x / sin² x - (sin x cos x) / sin² x =

    = 1 / sin x - cos x / sin x = csc x - cot x = RS

    Therefore: LS = RS
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