यदि `sin theta++cos theta=sqrt2sin(90^(@)-theta), ` तब `cot theta` का मान ज्ञात कीजिए.
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यहाँ, `sin theta+cos theta=sqrt2sin (90^(@)-theta)impliessintheta+cos theta=sqrt2cos theta`
`impliessin theta=sqrt2cos theta-cos theta=(sqrt2-1)cos theta`
`implies(sin theta)/(cos theta)=((sqrt2-1)cos theta)/(cos theta)`
`implies tan theta=(sqrt2-1)impliescot theta=(1)/(sqrt2-1)`
`impliescot theta=((sqrt2+1))/((sqrt2-1)(sqrt2+1))=(sqrt2+1)/(2-1)=sqrt2+1`