ind all solutions for Sin^2x - 2sinx - 3 = 0 on the interval [0 , 2pi )

Question

find all solutions for
Sin^2x - 2sinx - 3 = 0 on the interval [0 , 2pi )

Answer 1

This will factor:

(sin x - 3)(sin x + 1), 

sin x = -1, x = 3pi/2

The solution sin x = 3 has no real solution.