Applied Math 40S Slides May 15, 2007

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Periodic Functions Why are there 360° in a circle? What is the most "natural" way to measure angles? Photo Source: Circles

description

Introduction to Periodic Functions. What is a radian? Converting degrees and radians. The meaning of "periodic." An introduction to the sine curve.

Transcript of Applied Math 40S Slides May 15, 2007

Page 1: Applied Math 40S Slides May 15, 2007

Periodic Functions

Why are there 360° in a circle?What is the most "natural" way to measure angles?

Photo Source: Circles

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Area

Circumference

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How do we convert between radians and degrees?

D is an angle in degreesR is an angle in radians

Find 30° in radians ... Find 20° in radians ...Examples:

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Find 250° in radians ... Find in degrees ...

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Find in degrees ...

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Find -18° in radians ... Find in degrees ...

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Find -18° in radians ... Find in degrees ...

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What does periodic mean?

Clock photo source

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What does periodic mean?

Jupiter and Io photo source

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What does periodic mean?

Low tide photo source

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What does periodic mean?

Baby heartbeat photo source

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What does periodic mean?

Heartbeat of Trees photo source

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The sine curve (graph) ...