Question

Solve cos x tan x -sin^2x=0 for all real values of x

Answer 1

tan=sin/cos
cos*tan=sin
sinx-sin^2x=0
let u=sinx
u-u^2=0
hence u=0,u=1
u=0 => sin(x) =0 hence x=k*pi
u=1=> sin(x)=1 hence x=pi/2+2kp
for any whole number k(that is k is a member of Z) ex. -3,-2,-1,0,1,2,3

Answer 2

Solve 2 sin^2x-sinx=0 for principal values x

60 and 120 degrees
0 and 150 degrees
0 and 30 degrees
60 degrees