SOLUTION: hey! I've been trying to do this problem and my book is not clear on how to solve it, please help! Solve tan^2(x)=(1/3) for x on [0,2pi] Thanks!

Algebra ->  Trigonometry-basics -> SOLUTION: hey! I've been trying to do this problem and my book is not clear on how to solve it, please help! Solve tan^2(x)=(1/3) for x on [0,2pi] Thanks!      Log On


   



Question 811614: hey! I've been trying to do this problem and my book is not clear on how to solve it, please help!
Solve tan^2(x)=(1/3) for x on [0,2pi]
Thanks!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve tan^2(x)=(1/3) for x on [0,2pi]
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Take the sqrt of both sides to get:
tan(x) = 1/sqrt(3) or tan(x) = -1/sqrt(3)
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x = pi/6 or (7/6)pi or (5/6)pi or (11/6)pi
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Cheers,
Stan H.
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