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find to the nearest minute, all positive values in the interval 0° ≤ θ < 180° that satisfy the equation 2 tan^2 θ - tan θ = 3

  • math -

    Let x = tanθ
    You have a quadratic equation in x
    2x^2 -x -3 = 0
    (2x -3)(x+1) = 0
    x = tanθ = -1 or 3/2

    θ = 135 degrees or 56.3099 degrees
    The latter angle is 56 degrees 19 minutes

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