Question

Find all solutions to the equation.
sin^2x + sin x = 0

Answer 1

a^2+a=a(a+1)

Answer 2

exactly
\[ \large 0=\sin^2x+\sin x=\sin x(\sin x+1) \]

Answer 3

so
Sinx=0, pi, 2pi and -1?

Answer 4

sin(x)=0 gives you x=kpi where k=0, 1, 2, 3, ...
sin(x)+1=0 gives you x=k3pi/2 where k=0, 1, 2, 3, ...

Answer 5

ah okay i got it now thank you (: