How do you verify $sinthetatantheta=sectheta-costheta$ ?

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Answer 1 · 2016-11-17T22:08:53

see below

$sin theta tan theta = sec theta- cos theta$

Right Side : $=sec theta- cos theta$

$=1/cos theta- cos theta$

$=(1-cos^2 theta)/cos theta$

$=sin^2 theta/cos theta$

$=sin theta*sintheta/costheta$

$=sin theta tan theta$

$:.=$ Left Side

How do you verify sinthetatantheta=sectheta-costhetasinthetatantheta=sectheta-costheta?