Trigonometry

posted by .

What is the period and asymptote in y= tan(2x-pi)

  • Trigonometry -

    for y = tan kØ , the period of the tangent curve is π/k
    (notice that this differs from the period definition for sine and cosine)

    so the period of tan (2x-π) is π/2 radians or 90°

    We know that tan (π/2) is undefined (a vertical asymptote)
    so 2x - π = π/2
    2x = 3π/2
    x = 3π/4

    So your function will have a vertical asymptote at
    x = 3π/4 , and one every π/2 to the right or to the left after that

    vertical asymptotes:
    in radians : x = 3π/4 + kπ/2 , where k is an integer
    in degrees : x = 135° + 90k° , where k is an integer

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trigonometry

    Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi; tan b = -sqrt2, pi/2<b<pi identity used is: tan(a-b)=(tan a-tan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta)
  2. Trigonometry

    F(X) = 2x^3-5x^2-19x+1 / x^2-9....I need the vertical asymptote, horizontal asymptote and the slant asymptote...please help!
  3. Precalculus

    Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis c) a hole at x = -2 and a vertical asymptote at x = 1 d) a vertical asymptote …
  4. trigonometry

    state the amplitude, period and phase shift of the function y=tan (20-80 degrees)
  5. trigonometry

    state the amplitude, period and phase shift of the function y = tan (2 theta- 180 degrees)
  6. Trigonometry

    What is the period of y = ã3sin (1/3x-ã1/3)?
  7. Math-Trigonometry

    Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work?
  8. Math

    f(x) = tan x / sin x Find the vertical asymptote. Describe its behavior to the left and right of the vertical asymptote.
  9. Math(Please help!)

    Describe the vertical asymptote and hole for the graph of (x^2+x-6)/(x^2-9). a. asymptote: x=2; hole: x=-3 b. asymptote: x=3; hole: x=2 c. asymptote: x=-3; hole: x=3 d. asymptote: x=3; hole: x=-3 I know that it has to either be b or …
  10. math (trigonometry)

    A=170 degree then prove that Tan A/2=-1-rot(1+Tan^2 A)/Tan A

More Similar Questions