Question

What are the amplitude, period, and phase shift of the given function?
f(t) = 2/3 cos (4t-3π)

Answer 1

C

Explanation:

Given a sine/cos function in the form
`f(x)=A cos (Bx+C)`, we can say that:

A is the Amplitude

`(2\pi)/(B)` is the period

`-(C)/(B)` is the phase shift

From the function given
`(2)/(3)cos(4t+3\pi)`, we can say

A =
`(2)/(3)`

B = 4

C = 3π

Now we can figure out:

Amplitude = 2/3

Period = 2π/4 = π/2

Phase Shift = -3π/4

The correct answer choice is C