How do you solve 2sinthetacostheta+sqrt3sintheta=0?

1 Answer
Dec 17, 2016

theta=npi or theta=2npi+-(5pi)/6, where n is an integer

Explanation:

2sinthetacostheta+sqrt3sintheta=0

hArrsintheta(2costheta+sqrt3)=0

i.e. either sintheta=0 and theta=npi, where n is an integer

or 2costheta+sqrt3=0 and costheta=-sqrt3/2=cos(+-(5pi)/6)

and theta=2npi+-(5pi)/6, where n is an integer