Coterminal Angles
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Transcript of Coterminal Angles
Coterminal Angles
What are coterminal angles?
• Two angles in standard position that have the same terminal side are called coterminal.
Initial side
Terminal side
Y
X
STANDARD POSITION
How do you find a coterminal angle?
• To find a coterminal angle, you add or subtract multiples of a complete revolution (360o)
• Remember one revolution in radians is 2 π
• 2 π = 360o
To find the smallest positive coterminal angle for:
• 832o
• 832 – 360 = 472, 472 – 360 = 112
• Since we can not subtract another 360o without getting a negative answer, we say that 112o is the smallest positive coterminal angle for 832o
To find the smallest positive coterminal angle for:
•
• + = + =
• Since we do not need to add another
to get a positive answer, we say that is
the smallest positive coterminal angle for
4
3
4
3 2 4
34
84
5
24
5
4
3
To find the smallest positive coterminal angle for:
• 1)
• 2) -570o
3
5