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Prove the following identity: (2sintheta...

Prove the following identity: `(2sinthetacostheta-costheta)/(1-sintheta+sin^2theta-cos^2theta)=cottheta`

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cos `theta`(sin`theta`-1)/2sin^2`theta`-sin`theta`

=cos `theta`(sin`theta`-1)/sin `theta`(sin`theta`-1)

=cos`theta`/sin `theta`

=cot `theta`
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