Transcript 14-1 Graphing Trig. Functions (Day 2)

14-1 Graphing Trig. Functions
(Day 2)
Find the Following Values using Your
Calculator:
1. tan (-π/2) = undef.
2. tan (-π/4) = -1
The graph of y= tan (x) is different
from the other graphs:
1
3. tan (0) = 0
4. tan (π/4) = 1
5. tan (π/2) = undef.
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2
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Period: π
Asymptote
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4
4
2
-1
Asymptote
Properties of y = atan (bx):
y = atan (bx) is also periodic.
y = tan (x):
a tells you what
points to graph on
the y-axis.
Ex 1: Graph one cycle then label the
asymptotes and the period
y = 4tan 3x
a=4
b=3
4
The first point will
be on the origin.
The next 2 points will be half
way in between the origin
and the asymptote. Use “a”
as a measure of height.
-4
Ex : Graph one cycle then label the
asymptotes and the period.
y = ½ tan πx
a=½
b=π
½
=1
-½
Exit Slip: Graph one cycle then label
the asymptotes and the period.
y = 3 tan 2πx