Ask Question
7 October, 15:34

Write an equation of the cosine function with amplitude 3 and period 4π.

+4
Answers (1)
  1. 7 October, 19:26
    0
    Y = 3cos (x/2)

    Let your cosine function be y = acos (cx)

    Amplitude: a

    Period: 2 π/c

    If we want to write an equation with an amplitude of 3, we'd just change the a to a 3:

    y = 3cos (cx)

    Now, since our normal cosine function has a period of 2 π, we can manipulate the inside to have an period of 4π.

    2π/c = 4 π

    c = 2 π/4 π = 1/2

    So, we'd just change c to 1/2 to get our final function:

    y = 3cos (x/2)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Write an equation of the cosine function with amplitude 3 and period 4π. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers