Question

What is the graph of one cycle of a cosine curve with amplitude 4, period π/2, and a < 0?

Answer 1

Explanation:

Alright, lets get started.

The amplitude is given as 4 means a is 4

Period is given as
`(\pi )/(2)` means

`(2\pi )/(b)=(\pi)/(2)`

Cross multiply

`b=4`

Cos function will be
`y=4cos(4x)`

Please refer the diagram I have attached.

Answer 2

Given:
Amplitude = 4
Period = π/2
Phase = 0

The cyclic wave is represented by
y = 4 cos(4t)

The graph of one cycle is shown below.