4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot

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4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot

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4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot

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4.6

Graphs of Other

Trigonometric Functions

csc, sec, tan, & cot

Graphing csc and sec is done by graphing its

reciprocal function first.

v.s. =

A =

P =

h.s. =

3

2

Graph y = 3 + 2 csc

+ sin x

5

3

1

x-axis

Draw vert. asy.

Find the midpoint to locate y-axis.

What is the range and domain of y?

Range:

Domain: To find the domain of csc x , set what comes

after csc =

v.s = 2

h.s. =

y = 2 – 4 sec (4x - )

y = 2 – 4 sec 4(x - )

A = 4

P =

6

2

x-axis

-2

Range:

To find the domain, set what comes after sec =

y = - tan x

y = tan x

Range:

1

Domain: set

whatever is

after the tan =

-1

y = -3 tan 2x

Plug in –1, 0 and 1 for k to find vertical asymptotes.

v.a.’s at

Range:

y = cot x

Range:

Domain: set

whatever is

after the cot =

Plug in -1, 0, and 1 for k to find the v.a.’s

Period