Applied Math 40S May 21, 2008

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Degrees and radian conversions and introduction to periodic functions.

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Periodic Functions

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

angles?

Circles by flickr user tydan

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:

θ is called "theta"

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

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

Find in degrees ...

What does periodic mean?

Clock photo source

Jupiter and Io photo source

What does periodic mean?

Low tide photo source

What does periodic mean?

Baby heartbeat photo source

What does periodic mean?

Heartbeat of Trees photo source

What does periodic mean?

The sine curve (graph) ... HOMEWORK

HOMEWORK

HOMEWORK

HOMEWORK

HOMEWORK