Step 1:

The function is .

Complete the table:

\ \

Complete the table:

\ \

Graph the function .

Plot the points.

Step 1:

The function is .

The domain of the cosine function is all real numbers.

The range of the function is .

Find the -intercept by substitute in .

.

The -intercept .

Step 2:

Find the -intercept by equating .

.

The -intercept is .

Solution:

(a) The domain of the cosine function is all real numbers.

(b) The range of the function is .

(c) The -intercept .

(d) The -intercept is .

Similarities between sine and cosine functions:

The domain and range is same gor both the functions.

The period is same for both the functions.

Difference between sine and cosine functions:

The relationship between the cosine and sine graphs is that the cosine is the same as the sine only its shifted to the left by .

The sine function has maximum values at and cosine function has maximum values at .

(a)

The function is  .

Formula for .

Here , .

Substitute  and  in 

.