Section 1.1 Notes (Measuring Rotation).notebook

Section 1.1 Notes (Measuring Rotation).notebook
August 30, 2012
Homework due Tuesday
Page 8
#33‐36, 45‐46, 53‐55, 57‐59, 69,
73, 103‐105, 109, 127‐130
Section 1.1
Measuring Rotation
with Angles
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Section 1.1 Notes (Measuring Rotation).notebook
August 30, 2012
How do we measure angles?
Positive angle
Negative angle
Quadrant Summary
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Section 1.1 Notes (Measuring Rotation).notebook
August 30, 2012
Definition: Coterminal Angles have the same initial and terminal sides but their angle measures differ by a multiple of 360 degrees.
Examples:
1) List three coterminal angles for
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Section 1.1 Notes (Measuring Rotation).notebook
August 30, 2012
Examples:
2) State the smallest positive coterminal angle for:
A)
B)
DMS
Degrees Minutes
Seconds
• 60 minutes in 1 degree
• 60 seconds in 1 minute
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Section 1.1 Notes (Measuring Rotation).notebook
August 30, 2012
Examples
1)
2)
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Section 1.1 Notes (Measuring Rotation).notebook
Examples
3) Convert
4) Convert
August 30, 2012
to decimal degrees.
to DMS.
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Section 1.1 Notes (Measuring Rotation).notebook
August 30, 2012
1) A ferris wheel, on average rotates through
220 degrees in one minute? How many
rotations will the ferris wheel make in half
an hour?
2) A tractor tire makes 270 revolutions per
minute. Through how many degrees will a
point on the edge of the wheel move in 5
seconds?
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