SOLUTION: Solve for x in the equation 3sin^2x = cos^2x; 0<or=x<or =2pi 3 sin squared x = cos squared x where x is greater than or = 0 and less than or = 2pi Thank you so much fo

Algebra ->  Trigonometry-basics -> SOLUTION: Solve for x in the equation 3sin^2x = cos^2x; 0<or=x<or =2pi 3 sin squared x = cos squared x where x is greater than or = 0 and less than or = 2pi Thank you so much fo      Log On


   



Question 206372: Solve for x in the equation
3sin^2x = cos^2x; 0 3 sin squared x = cos squared x where x is greater than or = 0 and less than or = 2pi
Thank you so much for your help!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x in the equation
3sin^2x = cos^2x; 0 3 sin squared x = cos squared x where x is greater than or = 0 and less than or = 2pi
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Solve for x in the equation
3sin^2x = cos^2x
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Divide both sides by 3cos^2x to get:
tan^2(x) = 1/3
tan(x) = 1/sqrt(3)
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x = pi/6 or (7/6)pi
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Cheers,
Stan H.