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सिद्ध कीजिए कि: `(sintheta+costheta)(tan theta+cottheta)=sectheta+cosec theta.`

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बायाँ पक्ष `(sintheta+costheta)(tantheta+cottheta)`
`=(sintheta+costheta)((sintheta)/(costheta)+(costheta)/(sintheta))`
`=(sintheta+costheta)((sin^(2)theta+cos^(2)theta)/(costhetasintheta))`
`=(sintheta+costheta)/(costhetasintheta)" "[becausesin^(2)theta+cos^(2)theta=1]`
`=(sintheta)/(costhetasintheta)+(costheta)/(costhetasintheta)`
`=(1)/(cos theta)+(1)/(sintheta)=sectheta+cosestheta=`दायाँ पक्ष

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