Use the information given about the angle theta 0 lessthanor

Use the information given about the angle theta, 0 lessthanorequalto theta 0 Find sin 0/2 a) Squareroot 8 + 2 Squareroot 15/4 B) Squareroot 311/4 C) Squareroot 6/4

Solution

use t for theta symbol

given cost = 1/4

cost = 2cos²(t/2) - 1

cos(t/2) = sqrt[(cost + 1)/2]

= sqrt(1/4+1)/sqrt2

= sqrt(5/8)

sin(t/2) = sqrt( 1-cos²(t/2) ] = sqrt( 1 - 5/8)= sqrt(3/8) = sqrt6/4 ----- ans (C)