Find the exact solutions of the equation in the interval [0,2pi) enter answers in comma separated list

Question

sin2x+sinx=0 

Answer 1

In Trigonometry you'll be exposed to numerous fascinating formulas.

 

One of the many that you should MEMORIZE is sin 2x = 2 sin x cos x, the use of which enables you to factor

sin2x+sinx=0= (sin x) (2 cos x + 1) = 0.

 

From this, and the ever-popular Zero Product Property, you should be able to solve for values of x that make the equation true.