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
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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 = 2
b
• For y = tan bx or y = cot bx
period = 
b
• For y = sec bx or y = csc bx
period = 2
b
Graph the following. State the
important information.
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y = sec (4x)
y = -2csc (x)
y = 3csc (x) + 1
y = sec (0.5x – π)
y = -2csc (πx) – 3