Section 5.4Trigonometric Functions

of Real Numbers; Periodic Functions

Trigonometric Functions of Real Numbers

Example

1 3,

2 2P

Use the figure below to find the trigonometric

functions given t.

Domain and Range of Sine and Cosine Functions

Even and Odd

Trigonometric Functions

Tip: See the unit circle to easily verify this for sine and cosine functions

Example

Find the value of each trigonometric function

cot sec4 4

Periodic Functions

Example

Find the value of each trigonometric function

9a. cot

4

5b. cos

2

3c. sec -

4

(a)

(b)

(c)

(d)

Find the exact value of the trigonometric function.

3Do not use a calculator. sec -

4

1

2

3

21

2

2

(a)

(b)

(c)

(d)

5Find cot

6

3

21

2

3

2