Question

Find all solutions in the interval [0, 2π).

sin2 x + sin x = 0

Answer 1

hi

Answer 2

is that sin^2 x?

Answer 3

yes

Answer 4

okk

Answer 5

sin2 x + sin x = 0
i.e. 2sinx cosx+sinx=0
i.e. sinx (2cosx+1)=0
i.e sinx=0 or (2cosx+1)=0
i.e. x=2npi or cosx = -1/2 = -cos(pi/3)=cos (pi+pi/3)=cos (4pi/3)
or x = (n+1) (4pi/3)