6Tanx=-2 Squared root 3

Question

Help having troubles

Answer 1

maebee that junk shood be

6*tan(x) = -2*sqrt(3)

sqrt(3)=1.732050807568877293527446341505...

multipli bi 2 & yu get 3.4641016151377544

divide bi 6 & yu get tan(x)=-0.5773502691896257

tan be symettrik bout zero, so tan(-x)=-tan(x)

now yu need tu du invers tan(0.577350...)

me kalkulater giv angel=29.9999999999999999, so safe tu assume anser=30 degrees

Answer 2

6tan(x)=-2√3

tan(x)=-√3/3=-1√3

x=-30º (If ABC is a right-angled triangle with an angle of 30º, the sides are 1, √3 and 2 (hypotenuse).)

Therefore, in quadrant II and IV the solution is 150º and 330º. 330º is equivalent to -30º.