Pg. 346/352 Homework
• Pg. 352
#13 – 22, 45, 46
Study for trig memorization quiz. Hand draw graphs of the six trig
functions and include domain, range, period, and asymptotes.|
Test on Thursday, March 1st!
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#27
#31
#35
#39
#41
#7
#9
#11
x = 0.52, 2.62
#29
x = 0.93, 5.36
#33
x = 0.79, 3.93
#37
0 ≤ x ≤ 0.64, 2.50 ≤ x ≤ 6.28
0 ≤ x ≤ 2.28, 4.03 ≤ x ≤ 6.28
period = π/2
#8
period = π
#10
period = 2π/3
#12
x = 0.93, 2.21
x = 0.60, 2.54
x = 1.70, 3.14, 4.60
period = π/3
period = 4π
period = 2π
6.3 Graphs of sin x and cos x
Amplitude and Period Length
• State the amplitude and
Period Length:
y = 8sin(3x)
y = -3cos(0.25x)
y = -½sin(2.5x) + 1
Graph one Period Length:
• y = -4sin(4x)
y = cos(0.5x) – 1
6.4 Graphs of the Other Trig Functions
Graphing tan x
• What are the values to
“worry about” with tan x?
• Graph tan x.
Graphing cot x
• What are the values to
“worry about” with cot x?
• Graph cot x.
• What is the period length?
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 “Other” trigs
• For y = tan bx or y = cot bx
period = 
b
• For y = sec bx or y = csc bx
period = 2
b
Examples:
• Find all solutions for the
following:
csc x = -1.6
tan x = 2.5