Question

Describe each of the following properties of the graph of the Cosine Function, f(theta) = cos(theta) and relate the property to the unit circle definition of cosine.

Amplitude
Period
Domain
Range
x-intercepts


I don't exactly want the answers I want to know how I would the out the answer, and I notes but I don't understand them

Answer 1

Standard, unaltered, just write down the properties. It is a memorization project...

\(f(x) = \cos(\theta)\)
Amplitude: 1
Period: \(2\pi\)
Domain: \(\mathbb{R}\) (That's the Real Numbers)
Range: [-1,1]
x-intercepts: \(\pi/2 + k\pi\;for\;k\in\mathbb{Z}\) (That's the Integers.)

Get this stuck in your head. You will need this basic information to solve the much more complicated ones to come.

Answer 2

@tkhunny thank you

Answer 3

Suomalainen?