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Solve step by step

4sin^2x = 3cos^2x

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    4sin^2x = 3(1-sin^2x)
    4sin^2x = 3 - 3sin^2x
    7sin^2x = 3
    sin^2x = 3/7
    sinx = ±√(3/7), so x is in any of the 4 quadrants

    In first quadrant I get x = 40.9 degrees
    in II, x = 180 - 40.9
    in III, x = 180+40.9
    in IV, x = 360-40.9

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