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`
