Section 5.6Graphs of Other Trigonometric

Functions

The Graph of y = tan x

Graphing Variations of y=tan x

Two Examples of Variation of the y = tan x Graphs

Example

Graph the following equation: - tan 2y x

Example

Graph the equation tan - 2

y x

The Graph of y = cot x

Graphing Variations of y = cot x

Example

Graph the following equation: - cot2

y x

Example

Graph the equation coty x

Example

Graph the equation 2cot4

y x

The Graphs of y = cscx and y = secx

Graphing Variations of y = cscx and y = secx

Y= 2 sin 2x

Using a Function to Graph Its Inverse

Using a Function to Graph Its Inverse

Example

First graph sin 2 then graph its reciprocal function.y x

Example

First graph 2cos 2 then graph its reciprocal function.y x

The Six Curves of Trigonometry

(a)

(b)

(c)

(d)

This is the graph of which function?

( ) csc

( ) cot

( ) cot

( ) sec

f x x

f x x

f x x

f x x

(a)

(b)

(c)

(d)

Find the reciprocal cosecant or secant function for the given graph.

3 csc

3 csc 2

3 csc 4

3 sec 2

x

x

x

x