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# Solve tan3x = sqrt(3)? For homework?

So confused...

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- 7 years agoFavorite Answer
tan3x = sqrt(3)

3x = arctan(sqrt(3))

arctan(sqrt(3)) isn't too hard to figure out. Just think about what angle gives you sqrt(3)/1. Tangent deals with y/x. Therefore, we can deduce that the angles for which this is true are pi/3 radians and 4pi/3 radians.

3x = pi/3 ------------ x = pi/9

3x = 4pi/3 ---------- x = 4pi/9

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