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सिद्ध कीजिए: `(1+costheta-sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta.`

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वाम पक्ष `(1+costheta-sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta.`
`=(1-sin^(2)theta+costheta)/(sintheta+sinthetacostheta)=(cos^(2)theta+costheta)/(sintheta+sinthetacostheta)`
`=(costheta(costheta+1))/(sin theta(1+costheta))=(costheta)/(sintheta)`
`=cot theta=`दायाँ पक्ष।

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