Applied Math 40S Slides May 15, 2007

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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

Periodic Functions

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

Photo Source: Circles

Area

Circumference

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:

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

Find in degrees ...

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

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

What does periodic mean?

Clock photo source

What does periodic mean?

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

The sine curve (graph) ...