Question

Find all solutions to the equation.

sin^2x + sin x = 0

Answer 1

sin^2(x)+sin(x)=0
sin(x)(1+sin(x))=0
soo sin(x)=0 or sin(x)=-1
x=pi*n
x=2pi*n+3pi/2
x=2pi*n -pi/2

Answer 2

Okay I get that @peterek0. So when I look on the unit circle, I would be looking for 3pi/2 for my solutions?

Answer 3

n is any intiger. There are infinite amount of solutions .

Answer 4

Thank you.