February 18, 2015
Problem(4.4)
Precal
Name: ______________________
Draw one complete cycle, labeling amplitude, period length, and
quarter periods.
y = 3 sec(
1
2
x+ π )
February 18, 2015
Precal
Problem(4.4)
Name: ______________________
Draw one complete cycle, labeling amplitude, period length, and
quarter periods.
1
1
end: -2 π + 4 π
phase
shift:
x +π= 0
y = 3 sec(
x+ π )
1
2
2
2π
x = -π
amp = 3
per = 2 π = 4 π
1
2
2
x = - 2π
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
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