Pre-Calculus/Trig3
4.5 Sin and Cos Graphs
Name
Block
Date
Find the amplitude and period of each function.
Amplitude
Period
Amplitude
1. y = sin
6. y = - sin
2. y = 2 sin
Period
3
2
7. y =
3. y =
2
sin 4
3
2
8. y = 3 sin
3
1
9. y = -2 cos
4
3
3
10. y
Pre-Calculus/Trig3
Chapter 4.5 Trigonometric Graphs
Name
Block
Date
Using your calculator fill in the trig values for the given angles.
Value
Value
Value
Angle
Angle
Angle
(degrees)
Sin
(degrees)
Cos
(degrees)
Tan
0
0
0
15
15
15
30
30
30
45
45
45
60
60
Pre-Calculus/Trig3
4.5- Sine/Cosine Graphs Wkst
Name
Block
Date
Without using a calculator. Sketch each function over the given interval and label all
significant values. Identify the amplitude and angle value of the period.
1. y 2 sin x
1
2. y cos
2
(1 p
Pre-Calculus / Trig 3
Mathematical Modeling of Trig Functions
Name:_
Date:_
We can use a graphing calculator to graph trigonometric equations that are
created from real world data.
Example:
The percent y of the moons face that is illuminated on day x of t
PreCalculus/Trig3
4.3PracticewithTrigonometry
Name
Block
Date
NewTypesofProblems
1.Findtheexactvaluesofthesixtrigfunctionsof instandardpositionatthepoint(3,4).
a)UsethePythagoreantheoremtofindtheradius
(3,4)
o
h
a
h
SCT
o
a
b)Use tofindthevaluesoft
Pre-Calculus/Trig3
Phase Shift
Name
Block
Date
When you cause the graph to shift vertically or horizontally it is know as a
.
General Case: y = trig ( j ) c
Inside value (j)
Outside Value (c)
Practice Problems
1. y = sin + 2
2. y = - cos ( - 90)
Descripti