Question

Considering the graph of the cosine function shown below.

A. Find the period and amplitude of the cosine function

B: At what value of (theta) for 0<(theta)<2pi (the < has a line under both of them) do the maximum value(s), minimum value(s), and zeros occur,

Answer 1

Period is the time (x axis here) from peak to peak (or trough to trough), looks like pi/2 here

amplitude is half the total peak-to- trough distance (y axis here),
looks like (1/2) (4) = 2.

You can look at the graph and see where 2, -2, 0 values occur.

Answer 2

Thank you!

Answer 3

@douglaswinslowcooper if you look carefully at the question you will find that the period is pi and not pi/2

Answer 4

When I looked at the graph attached to the question, the peak-to-peak distance was pi/2, thus the period. Seen the graph?

Answer 5

And now I'm confused.

Answer 6

oops!my bad! you are right

Answer 7

Period is distance (x - axis) peak-to-peak
Amplitude is half (peak minus trough), thus (1/2)(2 - (-2)) = 2