If `sin_(theta)+cos_(theta)=sqrt2)=sqrt2(90^(@)0theta)` then the value of `cot_(theta)` is(यदि `sin_(theta)+cos_(theta)=sqrt2)=sqrt2(90^(@)0theta)` है तो `cot_(theta)` का मान ज्ञात करे)

Options

A. `-sqrt2-1`
B. `sqrt2+1`
C. `sqrt2-1`
D. `-sqrt2+1`

Answer

b

Explanation

`sin theta+costheta=sqrt(2)sin(90-theta)`
`sin theta+cos theta=sqrt(2)cos theta`
Divide both sides by `cos theta`
`tan theta+1=sqrt(2)`
`cot theta=(1)/(sqrt(2)-1)`
`= sqrt(2)+1`