fidn all values of tehta in [0, 360) that satisfy the equation.

√(3)tan(θ/2)=-1

I have four choices 300, 330, 150 , 120

and i got 120

4 answers

√3 tan(θ/2) = -1
tan θ/2 = -1/√3
θ/2 = 150 or 330
θ = 300 or 660

θ=660 is equivalent to θ=300, since 660=300+360

tan 120 = -√3, not -1/√3
so the answer is 330
How am I going to help you if you don't read what I wrote?
i got it now. thanks