Download The science of studying angle measure

Trigonometry
The science of studying angle measure
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The measure of an angle is
the amount of rotation
required to rotate one side,
called the initial side, to the
other side, called the terminal
side.
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Angle: t wo rays with
same initial point
Ini
t ia
l si
de
An angle at standard position:
if its vertex is at the origin of the
rectangular coordinate system
and its initial side lies along the
positive x-axis
Negative: since
the angle rotated
clockwise
Positive: since the
angle rotated
counterclockwise
Degree Measure
A Circle can be divided into 3600
Radian Measure
∏
2
∏
2∏
3∏
2
Examples:
Convert degree to radian measure
Convert the following Radian Measure to Degree
2∏ =1200
3
5∏ =1500
6
∏
6
=300
5∏ =3000
3
Convert the following Degree to Radian Measure
2100
7∏
6
1350
3∏
4
600
∏
3
2250
5∏
4