Write an equation or expression that would give you ALL of the coterminal angles for a particular angle given in degrees.
Example: If I wanted a way of writing all of the odd numbers in the real number system, I could say it is (2n - 1) where n is any integer.
(360-a)+(360)n
ReplyDeletea=original angle
n=number of times you want to go fully around
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Example:
Angle=180
N=1,492,001
360-180=180
360x1,492,001=537,120,360
Therefore 537,120,360 is a coterminal angle for 180.
Equation:
ReplyDelete360n+a
a= angle measure
n= non-zero integer
Example:
a= 30
n= 15
360(15)+30
=5400+30
=5430 is a coterminal angle..