How do you solve Cos theta Tan theta+sqrt(3)Cos theta=0 for [0,2pi]?

1 Answer

theta = (5pi)/6 and (11pi)/6

Explanation:

costheta * (sintheta /costheta) + sqrt3costheta =0

You know that tantheta=sintheta /costheta, which means that you have

sintheta + sqrt3costheta =0

sintheta = - sqrt3 * costheta

tantheta =-sqrt3 for [0,2pi],

theta = pi - (pi/3) and 2pi - (pi/3)

theta = (5pi)/6 and (11pi)/6