सिद्ध कीजिए कि –
`(cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=sin theta+cos theta`
`(cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=sin theta+cos theta`
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बायाँ पक्ष `(cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)`
`=(cos theta)/(1-(sin theta)/(cos theta))+(sin theta)/(1-(cos theta)/(sin theta))=(cos theta. cos theta)/((cos theta. sin theta))+(sin theta. sin theta)/((sin theta-cos theta))`
`=(cos^(2) theta)/((cos theta-sin theta))+(sin^(2) theta)/((sin theta-cos theta))`
`=(cos^(2)theta-sin^(2)theta)/((cos theta-sin theta))`
`=((cos theta-sin theta)(cos theta+sin theta))/((cos theta-sin theta))`
`=cos theta + sin theta=` दायाँ पक्ष