What is $sin^2theta-tantheta$ in terms of $costheta$ ?

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Answer 1 · 2016-01-15T04:14:43

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

Write in terms of $sintheta$ and $costheta$ .

$=sin^2theta-sintheta/costheta$

Find a common denominator.

$=(sin^2thetacostheta)/costheta-sintheta/costheta$

Combine.

$=(sin^2thetacostheta-sintheta)/costheta$

Use the following identities:

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

What is sin^2theta-tantheta sin^2theta-tantheta in terms of costhetacostheta?