If `2cos theta-sintheta`=`(1)/(sqrt2)`
`theta(0 letheta le90^(@))`
the valie of `2sin theta+cos theta is`

Options

A. `(1)/(sqrt2)`
B. `sqrt2`
C. `(3)/(sqrt2)`
D. `(1)/(sqrt3)`

Answer

c

Explanation

`2 cos theta-sin theta=(1)/sqrt(2)`
when
`ax+0by=m`
then `bx -+ay =sqrt(a ^(2)+b^(2)-m^(2))`
`2Cos theta-sintheta=(1)/sqrt(2)`
`costheta+2sin thetasqrt(4 +1-(1)/(2))`
`=(3)/sqrt(2)`