Question

How do you find the solution to `3tantheta+sqrt3=0` if `0<=theta<360`?

Answer 1

Solution: in interval `0<= theta <360 , theta=150^0, theta=330^0`

Explanation:

`3 tan theta +sqrt3 =0 or 3 tan theta = -sqrt3 or tan theta = -sqrt3/3`; We know, #tan(pi-pi/6)=-sqrt3/3 and tan(2pi-pi/6)=-sqrt3/3 :. theta=(pi-pi/6)=150^0 and theta=(2pi-pi/6)=330^0 #

Solution: in interval `0<= theta <360 , theta=150^0,330^0`[Ans]