Pre-cal

posted by .

I'm supposed to graph y= 4+2sin (pi/6 t -pi/5)

i have the vertical shift d=4
amplitude 2
level line y=4
crest line y=6
trough line y=2

but i am not sure what the period is
formula for period 2pi/b
in this case 2pi/pi/6 => 12pi/pi

do the pi's cancel, leaving the period at 12????

am i doing this right?

  • Pre-cal -

    You are correct,
    for y = sin kx, the period is 2π/k

    in your case you have 2π/(π/6)
    = 2π(6/π) = 12 (units of t)

    I am surprised you don't have to find the phase shift
    to get the correct phase shift your equation should be in the form
    y = 4 + 2sin[ (π/6)( t - 6/5) ]

    so the phase shift is 6/5 units to the right.

  • Pre-cal -

    I did have to find those too but i was stuck on the Period!
    thank you so very much!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    PLease help me with this: What kind of line is created when you graph the equation x = -5?
  2. trig

    list the period, amplitude, interval, and phase shift of: g(t)=5/2sint-pi i know the amplitude is 5/2 but everything else im not getting. the regular formula for these is y=Asin(Bx+C)+D A is the amplitude B is the period which you …
  3. Algebra 116 Help Please

    why the line x = 4 is a vertical line. Name three points on the line represented by x=4. Then explain why, when we connect these points, the line goes straight up and down and does not slant to the left or right. Is the three point …
  4. Physics - Waves

    the question i need help answering or verifying is "which has the greatest amplitude, a crest or a trough, or are their amplitudes the same?
  5. Physics waves- check answers please

    1. A vibrating point on a spring travels 60 mm during three cycles. What is the amplitude of the vibration?
  6. Physics waves- check answers please

    1. A vibrating point on a spring travels 60 mm during three cycles. What is the amplitude of the vibration?
  7. Physics waves- check answers please

    1. A vibrating point on a spring travels 60 mm during three cycles. What is the amplitude of the vibration?
  8. Trigonometry

    Write the equation of a sine wave (also called sine curve) given: 1. amplitude = 2 period = pi/2 phase shift = pi/8 vertical shift = 1 2. amplitude = 4 period = 3 phase shift = 2 vertical shift = -1 3. amplitude = 4 period = pi phase …
  9. trigonometry

    y=−34 sin(10θ+10π)−14 I need to graph this trigonometry problem. I need the parent graph, period, vertical shift, phase shift, a separate graph showing the new mid line with the amplitude and a final product graph. …
  10. Physical science

    the crest of wave A has an amplitude of 5 cm. the trough of wave B has an amplitude of 2 cm. if the crest of wave A combines with the trough of wave B,what will be the amplitude of the resulting wave?

More Similar Questions