2sin(x)cos(x) + sin(x) = 0 solve for the identity

Question

Help pleasd

Answer 1

you can factor the expression with sin(x):

 

2sin(x)cos(x) + sin(x) = 0

 

sin(x) * (2cos(x) + 1) = 0

 

So sin(x) = 0 OR 2cos(x) + 1 = 0

 

x = 0 [pi] OR cos(x) = -1/2

 

x = 0 OR x = 2*pi/3