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

##### 1 Answer

Sep 26, 2015

#### Explanation:

#costheta * (sintheta /costheta) + sqrt3costheta =0#

You know that

#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#