how to simplify tan(x)/ cos(x)-sec(x)

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20-02-2017
Mathematics

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how to simplify tan(x)/ cos(x)-sec(x)

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ChandrikaP ChandrikaP · Answer 1 · 2017-02-20T21:29:34+01:00

ChandrikaP ChandrikaP

20-02-2017

tan(x)/ cos(x)-sec(x)
tanx/(cosx-1/cosx)
tanx/cos^2x-1)--------------------1-sin^2x=cos^2x
-tanx/sin^2x
-(sinx/cosx)/sin^2x
-1/sinxcosx
multiply 2/2
-2/2sinxcosx-------------sin2x=2sincosx
-2/sin2x------------------1/sinx=cosecx
-2cosec2x

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