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solve the equation -3tan^2 2x + 1=0?

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  • 5 years ago

    -3tan^2 2x + 1=0

    tan^2(2x) = 1/3

    tan(2x) = +/-sqrt(1/3)

    For

    tan(2x) = sqrt(1/3)

    2x = tan^-1[sqrt(1/3)]

    = 30, 210

    x = 15, 105 deg

    For tan(2x) = - sqrt(1/3)

    2x = tan^-1[ - sqrt(1/3)]

    = 150, 330

    x = 75 165 deg

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