Question

Find all solutions for Sin (2θ) + 3 cos θ = 0

Answer 1

start with
\[2\sin(x)\cos(x)+3\cos(x)=0\] and then it should be easier

Answer 2

i.e. "double angle" formula
\[\cos(x)(2\sin(x)+3)=0\] etc

Answer 3

satelite first step was very good, we need only one function in order to solve for x, \[2\sin thetacos \theta+3\cos \theta=0\]

Answer 4

sustract both sides by 3costheta

Answer 5

\[2\sin \theta \cos \theta= -3\cos\]

Answer 6

divide now both sides by costheta

Answer 7

\[2\sin \theta=3\]

Answer 8

@spcsean can u find ur way from here?