If `sin(theta+30^(@))=(3)/(sqrt12)` then find

Options

A. `(1)/(4)`
B. `(3)/(4)`
C. `(sqrt3)/(4)`
D. `(1)/(2)`

Answer

b

Explanation

`sin(theta+30^(@))=(3)/sqrt(12)=(3)/(2sqrt(3))=sqrt(3)/(2)sin(theta+30^(@))=sin60^(@)`
`therefore theta=30^(@)`
`cos^(2)theta=cos^(2)30^(@)`
`=((sqrt(3))/(2))^(2)`
`=(3)/(4)`