-2tantheta=2√3

Question

tan is a lot more difficult cos and sin how would I approach this problem

Answer 1

This is easy with a graphing calculator such as the TI-84 (in degree mode).   

   theta =  arctan(-√3) = -60 deg. 

    Other approaches involve using a unit circle chart  or

    Remembering that sin(60) =  √3/2 and cos (60) = 1/2 so  tan(60) = √3