Math

posted by .

Write an equation of the tangent function with period (3π)/8, phase shift -π/5, and vertical shift -2.
a. y=tan((8x)/3 - (8π)/15) -2
b. y=tan((8x)/3 + (8π)/15) -2
c. y=tan((16x)/3 +(3π)/80) -2
d. y=tan((8x)/3 - (3π)/40) -2

I think it is A... or B?

  • Math -

    personally, I prefer to write trig functions with the k factor outside the bracket. That way the sphase shift is immediately obvious.
    so my first choice would have been

    y = tan (8/3)(x + π/5) - 2

    which after expanding, is the same as B

  • Math -

    thanks

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Evaluate *Note - We have to find the exact value of these. That I know to do. For example sin5π/12 will be broken into sin (π/6) + (π/4) So... sin 5π/12 sin (π/6) + (π/4) sin π/6 cos π/4 + cos …
  2. Math

    Use an addition or subtraction formula to write the expression as a trigonometric function of one number, and then find its exact value. (tan(π/2)+tan((2π)/3)) / (1-tan(π/2)tan((2π)/3)) Answer=__________ Exact value …
  3. Precalculus

    Use one of the identities cos(t + 2πk) = cos t or sin(t + 2πk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(19π/4) (b) sin(−19π/4) (c) cos(11π) (d) cos(53π/4) …
  4. Trigonometry

    IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally?
  5. Trigonometry

    IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally?
  6. Calculus

    How do I find the critical values? y= 4/x + tan(πx/8) What I did is I simplified it to y= 4x^-1 + tan(πx/8) then I took the derivative y'= -4x^-2 + (π/8)(sec(πx/8))^2 Then I simplied it y'= -4/x^2 + (π/8)(sec(πx/8))^2
  7. Math, please help

    Which of the following are trigonometric identities?
  8. 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 …
  9. precalc

    Given that sec 3π/10 ≈ 17/10 and csc 3π/10 ≈ 17/14, find the following: 1. sin 3π/10 ≈ 14/17 (is this one correct) 2. csc 43π/10 ≈ 3. sec 2π/10 ≈ 4. cot -12π/10 ≈ 5. …
  10. calculus

    1. what trig function has an amplitue of 1 and negative values for angles between π/2 and π?

More Similar Questions