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09-12-2016
Mathematics

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How do you simplify cscx*secx-tanx?

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HomertheGenius HomertheGenius

09-12-2016

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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