Warm-up:

Homework:

7.5: graph secant, cosecant, tangent, and cotangent functions from equations (6-7)

In this section we will answer… What about the other trig functions? How do they resemble sine and cosine?

How do they differ? How do I write equations based on the

other trig functions?

The Cosecant Function Period:

Domain:

Range:

X-intercepts (zeros):

Y-intercept:

Asymptotes:

Maximum:

Minimum:

Example 1: in radians

4csc 3y

Example 2:

3 csc(3 180 )y

Build an equation…

The Secant Function Period:

Domain:

Range:

X-intercepts (zeros):

Y-intercept:

Asymptotes:

Maximum:

Minimum:

Example 1:

3sec 2y

Build an equation…

The Tangent Function

Period:

Domain:

Range:

X-intercepts (zeros):

Y-intercept:

Asymptotes:

Example 1:1

2tan 1 (in degrees)3

y

Example 2: tan 23

y

The Cotangent Function Period:

Domain:

Range:

X-intercepts (zeros):

Y-intercept:

Asymptotes:

Example 1: in degrees cot 3y

Example 2: cot 22 4

y

Homework:

P 400 #13 – 41 odd and 47

Unit 7 Test