Question

Solve: sin x - 2sin x cos x = 0 for 0< x<2pi

Answer 1

Factor Factor Factor. I think I see "sin(x)" in every term on the left-hand side.

Answer 2

sin x ( 1 - 2cos x ) = 0

I see this and I think. What value of x makes sin x = 0, 0 and pi
Then I need 1 - 2cos x = 0 , so I think what value of x will make cos x = 1/2 so that it is 1-1=0, pi/3 and 5pi/3

Hope this helped