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math

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Solve for x:
3sin^2(x)=cos^2(x) ; 0≤x≤2π

  • math -

    3sin^2 x - cos^2 x = 0
    3sin^2x - (1- sin^2 x) = 0
    4sin^2 x = 1
    sin^2 x = 1/4
    sinx = ± 1/2

    So x could in in all 4 quadrants,
    (30°, 150°, 210°, and 330°)

    x =π/6, 5π/6, 7π/6. and 11π/6

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