February 18, 2015
Problem(4.4)
Precal
Name: ______________________
Draw one complete cycle, labeling amplitude, period length, and
quarter periods.
y = 3 csc(
1
2
x+
π
4
)
February 18, 2015
Problem(4.4)
Precal
Name: ______________________
Draw one complete cycle, labeling amplitude, period length, and
quarter periods.
y = 3 csc(
1
2
x+
1
2
)
4 phase shift:
1
2
x+
1
amp = 3
per = 2π
π
= 4π
2
π
4
=0
x =-
π
4
π
x =2
end:
-π
2 + 4π
7π
2
February 18, 2015
February 18, 2015
(4.5) Graphs of Tangent and Cotangent
Objective: To graph the tangent and cotangent functions.
Why: To understand graphically how they are related to the sin
and cos functions.
February 18, 2015
y = tan x
Obj: To graph the tangent and cotangent functions.
http://www.analyzemath.com/unitcircle/unit_circle_applet.html
February 18, 2015
February 18, 2015
Obj: To graph the tangent and cotangent functions.
y = cot x
February 18, 2015
Obj: To graph the tangent and cotangent functions.
Graph
y = tan
x
2
February 18, 2015
Obj: To graph the tangent and cotangent functions.
Graph
y = - 3 tan 2x
February 18, 2015
Obj: To graph the tangent and cotangent functions.
Graph y = 1 cot (x + )
2
4
February 18, 2015
Obj: To graph the tangent and cotangent functions.
HW:
Graph one complete cycle, labeling the amplitude, period length,
and quarter periods.
(Reg): Pg.365: 5, 6, 9, 10, 25