math

posted by .

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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    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
  2. math trigono

    1. If tanθ = –√3 , what is the value of cot ?
  3. Algebra

    What values for θ (0≤θ≤2π) satisfy the equation 2cos θ+1=-cos θ?
  4. Trigonometry

    Could someone please help me with the following q's I'm having some trouble: 1.) cot θ (theta) = 0.791, find sec θ and tan θ 2.) tan θ = 9/40, what is the value sin^2θ + cos^2θ
  5. Trigonometry

    if cot 2θ = 5/12 with 0≤2θ≤π find cos θ, sin θ, tan θ
  6. Trig

    Verify the given equations: ____1______ + ____1_______ = -2 tanθ tanθ – secθ tanθ + secθ 1 – sinθ = sec2θ – 2 secθ tan θ + tan2θ 1 + sinθ
  7. Precalc/Trig

    Sorry there are quite a few problems, but I just need to know if these are correct (and if they aren't, where I went wrong): 1. Solve these equations. tanθ = -√3 θ = 2π/3 + kπ θ = 5π/3 + kπ …
  8. Math Question

    Find the values of the six trigonometric functions of an angle in standard position where the terminal side is going through the point (-1, 1). Sinθ = Cosθ= Tanθ= Cscθ= Secθ= Cotθ=
  9. Math

    θ equals the angle in Quadrant II so that cot θ= -3. Find the values for sin θ, cos θ, and tan θ.
  10. precalculus

    the following is a point not on a unit circle. θ → (-5,4) use it to find: 1. cos θ = -5 2. csc θ = 1/4 am i correct?

More Similar Questions