Question

2tan x / 1-tan^2 x = 1/√3. What does x equal?
a. 11pi/12 + n(pi)
b. 5pi/12 + n(pi)
c. 7pi/12 + n(pi)
d. pi/12 + n(pi)

Answer 1

\[\tan 2x=\frac{ 2 \tan x }{ 1-\tan ^2 x }\]

Answer 2

wait what..?

Answer 3

can you proceed further?

Answer 4

No, I don't get any of this. I am so confused.

Answer 5

\[\tan 2x=\frac{ 1 }{ \sqrt{3} }=\tan \frac{ \pi }{ 6 }=\tan \left( n \pi+\frac{ \pi }{ 6 } \right)\],where n is an integer.

Answer 6

okay..