find the value of the

Options

A. `pmsqrt(npi),n in{0, 1, 2, ...}`
B. `pmsqrt(npi),n in{1, 2, 3, ...}`
C. `(pi)/(2)+2npi,n in{..., -2, -1, 0, 1, 2, ...}`
D. `2npi,n in{..., -2, -1, 0, 1, 2, ...}`

Answer

A

Explanation

`because(fogogof)(x)=(gogof)(x)`
`therefore (sinsinx^(2))^(2)=sinsinx^(2)impliessinsinx^(2)=0or1`
`impliesx=+sqrt(npi),nin{0,1,2,3,...}`