Question

Find solutions for the equation

sin^2 x + sin x = 0

Answer 1

I've gotten to:
sin x(sin x + 1) = 0
not sure where to go from here...

Answer 2

set it equal to zero
example \[\rm x(y+z)=0~~~\rightarrow ~~x=0~~~~and~~y+z=0\]

Answer 3

okay so
sin x = 0
sin x + 1 = 0

Answer 4

right now solve sinx+1=0 for sinx

Answer 5

sin x +1 = 0
sin x = -1

Answer 6

correct so sinx = 0 and sinx = -1
you can use the unit circle or triangles theorem to find exact solution

Answer 7

so since sine = y I'd have to look at the unit circle for coordinates that have a y of -1 or 0?

Answer 8

correct
sin theta =y-coordinate

Answer 9

thank you!