Question

If 2tanx/1-tan^2x=1/sqrt 3, then x can equal

Answer 1

15°,105°,195°,285°

Explanation:

\frac{2 tan ~x}{1-tan^2 x} =\frac{1}{\sqrt{3} } \\tan ~2x=tan~30,tan~210,tan~ (30+360),tan~(210+360)\\2x=30,210,390,570\\x=15^\circ,105^\circ,195^\circ,285^\circ

Answer 2

7*pi/12 + n*pi & pi/12 + n*pi ♡