Use the information given about the angle theta 0 lessthanor

Use the information given about the angle theta, 0 lessthanorequalto theta lessthanorequalto 2 pi, cos theta = 1/4, csc theta > 0 Find sin theta/2. Squareroot 10/4 Squareroot 6/4 Squareroot 8 + 2 Squareroot 5/4 Squareroot 8 - 2 Squareroot 15/4

Solution

costheta = 1/4

sin(theta/2) = sqrt[(1 -costheta)/2]

= sqrt[(1 - 1/4)/2]

= sqrt(3/8)

= sqrt(3*2/8*2)

= sqrt(6)/4