Question

Solve for x
\[\tan ^{2}x-tanx+\sqrt{3}tanx-\sqrt{3}=0\]

Answer 1

on [0,2pi]

Answer 2

good problem hang tight

Answer 3

so since it is all tangent you can factor it

Answer 4

first factor out sqrt(3) for both end terms. Then factor out tanx for the first 2 terms

Answer 5

Now you have (tanx-1)(tanx+sqrt(3))

Answer 6

so tanx=1 and tanx=-root(3)

Answer 7

thanksss :)