22.8k views
1 vote
If 2tanx/1-tan^2x=1/sqrt 3, then x can equal

User Dygestor
by
7.6k points

2 Answers

6 votes

Answer:

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

User Marcee
by
8.3k points
3 votes

Answer:

7*pi/12 + n*pi & pi/12 + n*pi ♡

User Yuriy Nakonechnyy
by
7.8k points

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