What is $sin^2theta/(1-tantheta)$ in terms of $costheta$ ?

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Answer 1 · 2016-03-03T05:43:57

$costheta((1−cos^2theta))/(costheta-sqrt(1−cos^2theta))$

$sin^2theta/(1−tantheta)$ can be written in term of $costheta$ , using identities

$sin^2theta=1−cos^2theta$ i.e. $sintheta=sqrt(1−cos^2theta)$

and $tantheta=sintheta/costheta$

As such $sin^2theta/(1−tantheta)$

= $(1−cos^2theta)/(1-sintheta/costheta)$

Multi[lying numerator and denominator by $costheta$ , we get

$costheta((1−cos^2theta))/(costheta-sintheta)$ or

$costheta((1−cos^2theta))/(costheta-sqrt(1−cos^2theta))$

What is sin^2theta/(1-tantheta) sin^2theta/(1-tantheta) in terms of costhetacostheta?