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23 November, 09:41

Cos³x. tan²x - cosx = ?

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  1. 23 November, 09:56
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    tan x = sin x/cos x

    cos³ x * tan²x - cos x = cos³x * (sin²x / cos² x) - cos = cosx*sin²x - cos x =

    = cos x (sin² x - 1) = - cos x (1 - sin²x) = - cosx*cos²x = - cos³ x
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