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Prove that (cos(pi +theta)cos (-theta))/...

Prove that `(cos(pi +theta)cos (-theta))/(cos(pi-theta) cos (pi/2+theta))=-cot theta`

Text Solution

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LHS
`(cos(pi+theta)cos(-theta))/(cos(pi-theta)*cos(pi/2+theta))`
`(costheta*costheta)/(costheta*(-sintheta)`
`-costheta/sintheta=-cottheta=RHS`
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