How do you verify the identity $secx-cosx=sinxtanx$ ?

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Answer 1 · 2017-01-17T18:28:09

see below

Left Hand Side:
$secx-cosx =1/cos x -cos x$

$=(1-cos^2 x)/cosx$

$=sin^2 x /cos x$

$=sinx* sinx/cosx$

$=sinx tanx$

$:.=$ Right Hand Side

How do you verify the identity secx-cosx=sinxtanxsecx-cosx=sinxtanx?