Pg. 346/352 Homework

• Pg. 352 #6, 8 – 11, 15 – 17, 21, 22, 24, 27, 28, 30 – 32

6.4 Graphs of the Other Trig Functions

Graphing tan x • What are the values to “worry

about” with tan x?• What is the period length?• What is the domain and range?• Graph tan x.

Graphing cot x • What are the values to “worry

about” with cot x?• What is the period length?• What is the domain and range?• Graph cot x.

6.4 Graphs of the Other Trig Functions

Graph of sec x and csc x• Since sin x and cos x are

periodic functions, it makes sense that their reciprocal identities would be as well.

• When either function heads towards zero, their reciprocal heads towards an infinity.

• Otherwise the reciprocal function takes on the reciprocal value.

• Graph csc x.

6.4 Graphs of the Other Trig Functions

• Graph sec x. • What are the domain and range for each function?

• What is the period length for each function?

6.4 Graphs of the Other Trig Functions

Period Length for All Trigs• For y = sin bx or y = cos bx

period =

• For y = tan bx or y = cot bxperiod =

• For y = sec bx or y = csc bxperiod =

Graph the following. State the important information.

• y = sec (4x)• y = -2csc (x)• y = 3csc (x) + 1• y = sec (0.5x – π)• y = -2csc (πx) – 3

2

b

b

2

b