Solve the equation for x if 0 lessthanorequalto z SolutionGi

Solve the equation for x if 0 lessthanorequalto z

Solution

Given 1-Sinx-2Cos²x=0

1-Sinx -2 (1-Sin²x)=0

2Sin²x - Sinx -1 =0

2Sin²x - 2Sinx +Sinx -1 =0

2Sinx (Sinx -1) +1 (Sinx -1) =0

2Sinx +1 = 0 and Sinx - 1 =0

Sinx =-1/2 and Sinx =1

x = pi/2 and 11pi/6.