Question

ind all of the solutions for the following equation.

tan(x) = 4 tan (x) - (sqrt)(3)

Answer 1

\[\tan(x)=4\tan(x)-\sqrt{3}\]

Answer 2

Have you considered solving \(3\tan(x) = \sqrt{3}\)?

Answer 3

I have not. is that the thing i need?

Answer 4

If you subtract \(\tan(x)\) from both sides and add \(\sqrt{3}\) to both sides, that is where you end up. What's next?

Answer 5

Uhhh. divide each side by 3.

Answer 6

Right. Where does that lead us?

Answer 7

\[\tan(x)=\frac{ \sqrt{3} }{ 3 }\]

Answer 8

...or \(\dfrac{1}{\sqrt{3}}\)

Answer 9

here's the question with answers:

so 1/root3. is that the solution then?? bc that's equal to a certain degreee, right?

Answer 10

We have \(\tan(x) = \dfrac{1}{\sqrt{3}}\)

We still need \(x = ??\).

Answer 11

inverse tangent of 1/root3

Answer 12

x = 30

Answer 13

now how do i know if it's 30 + 180 or 30 + 360?

Answer 14

\(... + k\cdot 180º\)

Answer 15

lol. ok then. thank you very very much :)