Download Winter 2015 Math Jam Day 5 Name:________________________________ Objectives:

Winter 2015 Math Jam Day 5
Name:________________________________
Objectives:
 Graphs of the 6 trigonometric functions
 Formulas from Geometry and Trigonometry
Graph the following trigonometric functions. Identify the amplitude, the period, and the phase shift
(if applicable).
1) y = 4sin ( 2π x )
1 
2) y = 10 cos  x 
2 
π
π
3) y =
− cos  x + 
6
2
=
4) y 3sin ( 2 x − 2 )
5) y = 3 tan (π x )
π
1
6) y tan  x − 
=
8
2
π

7)
y cot  x − 
=
2

π
8) y = 3cot 
2

x

π
1
9) y sec  x − 
=
2
2
10) y = −4sec(4π x)
=
11) y csc ( 2 x + π )
12) y = 2 csc 4 x
Formulas to remember from Geometry/Trigonometry:
1) Pythagorean Theorem
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2) Area and Perimeter of a Rectangle
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3) Surface Area and Volume of a Rectangular Prism
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4) Circumference and Area of a Circle
radius = r
C = 2π r
A = π r2
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5) Volume and Surface Area of a Sphere
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6) Area of a triangle
1
Area = bh
2
7) Volume and Surface Are of a Right Circular Cylinder
Volume Area of base ⋅ height
=
= p r2 ⋅ h
= p r 2h
Surface Area Area of 2 circles (top & bottom) + Area of sides
=
r 2 + 2 rh
= 2pp
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8) Volume of a cone
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9) Area of a trapezoid
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10) Similar Triangles
The following proportions are true:
a b c
= =
A B C
or
A B C
= =
a b c
a A
a A
= =
or
b B
c C