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24 June, 05:59

How do you simplify cscx*secx-tanx?

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  1. 24 June, 06:28
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    Csc x · sec x - tan x =

    = 1 / sin x · 1 / cos x - sin x / cos x =

    = 1 / sinx cos x - sin² x / sin x cos x =

    = (1 - sin² x) / (sin x cos x) =

    = cos² x / (sin x cos x) =

    = cos x / sin x = cot x
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