Question

Help!?!?!?!?

11. Consider the graph of the cosine function shown below.
a. Find the period and amplitude of the cosine function.
b. At what values of θ for 0 ≤ θ ≤ 2pi do the maximum value(s), minimum value(s), and zeros occur?

Answer 1

@lala2 Have you done these yet?

Answer 2

no i haven't!

Answer 3

I need help as well

Answer 4

Ok. You can stay and watch while i try to find someone to help if you want. :)

Answer 5

The period is the "x" distance it takes for the graph to repeat itself. Looking at the grid, it is 2 squares. It takes 4 squares for "pi", so your period is half of that of "pi/2".

The amplitude is the maximum distance vertically away from the average value (the x-axis or y=0). So, the amplitude is "2".

The maximum is reached where y = 2 and that is x (or theta here) = 0, pi/2, pi, 3pi/2, and 2pi. In other words, every pi/2.

The minimum is reached at y = -2 , so at x = pi/4, 3pi/4, 5pi/4, and 7pi/4.

Using the grid divisions, you should be able to determine where y=0.

Answer 6

So the period is pi/2
Amplitude is 2
Maximum is 0, pi/2, pi, 3pi/2, and 2pi.
Minimum is pi/4, 3pi/4, 5pi/4, and 7pi/4?

Answer 7

Yes.

Answer 8

Awesome! Thanks! Sorry for repeating what you said. Just wanted to make sure i understood.

Answer 9

np and uw!

Answer 10

@lala2

Answer 11

@lala2

Answer 12

@tcarroll010 wit r the zeroes

Answer 13

@pooja195

Answer 14

@Nnesha