section 5.6 graphs of other trigonometric functions
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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
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