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math

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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 -

    Substitute t=tan(&theta)
    and rewrite the equation as:
    2t²-t-3=0
    which factorizes to
    (2t-3)(t+1)=0
    Solve for values of t, and find the solutions for θ.
    Note: 1 degree = 60 minutes.

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