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 ...

COTERMINAL ANGLES

What does periodic mean?

Clock photo source

Convert the following to radian. Write your answers using π and in decimal form to two decimal places.

105° -11° 450°

HOMEWORK

Convert the following to degrees. Write your answers rounded to the nearest degree.

7π 6

3.52 -2HOMEWORK