Graph a cosine function

1
EXAMPLE 2
Graph a cosine function
SOLUTION
2
EXAMPLE 3
Model with a sine function
3
EXAMPLE 3
Model with a sine function
SOLUTION
Find the values of a and b in the model
P a sin bt. The maximum pressure is
2, so a 2. You can use the
frequency f to find b.
STEP 1
The pressure P as a function of time t is given
by P 2 sin 4000pt.
4
EXAMPLE 3
Model with a sine function
STEP 2
5
for Examples 2 and 3
GUIDED PRACTICE
Graph the function.
SOLUTION
6
for Examples 2 and 3
GUIDED PRACTICE
SOLUTION
7
for Examples 2 and 3
GUIDED PRACTICE
Graph the function.
7. f (x) 2 sin 3x
SOLUTION
8
for Examples 2 and 3
GUIDED PRACTICE
SOLUTION
9
for Examples 2 and 3
GUIDED PRACTICE
SOLUTION
The period would increase because the frequency
is decreased p 2 sin 2000pt