if `theta+phi=(pi)/(2) and sintheta=(1)/(2)` then the value of `sinphi` is

Options

A. 1
B. `(1)/(sqrt(2))`
C. `(1)/(2)`
D. `(sqrt(3))/(2)`

Answer

d

Explanation

`theta+phi=(pi)/(2)`
`theta+phi=90^(@)`
`sin theta=(1)/(2)`
`sin theta=sin30^(@)=(1)/(2)`...........(ii)
put `theta=30^(@)`(in equation) (i)
` 30^(@)+phi=90^(@)`
`phi=60^(@)`
`phi=60^(@)`
`sin phi=sin60^(@)=sqrt(2)/(2)`