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2 November, 05:58

Prove that 2cos2x/sin2x=cotx-tanx, show every step on how to solve it

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  1. 2 November, 08:16
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    2cos2x/sin2x=cotx-tanx

    2cos2x/sin2x = 2 (cos²x-sin²x) / (2sinx*cosx) = (2 cos²x-2sin²x) / (2sinx*cosx) =

    = 2cos²x / (2sinx*cosx) - 2sin²x) / (2sinx*cosx) = cos x / sin x - sinx/cos x =

    = cot x-tan x

    Left side is equal to right side, so 2cos2x/sin2x=cotx-tanx is true.
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