Asked by David
Find an angle between 0 and 2Ð that is coterminal with given angle.
1. -7Ð /3
2. 10
3. 51Ð /2
1. -7Ð /3
2. 10
3. 51Ð /2
Answers
Answered by
MathMate
The same applies as with angles measured in degrees.
Add or subtract 2π until the angle is between 0 and 2π.
1)
Since the angle is negative, we add 2π
-7π/3 + 2π =-π/3
The result is still negative, so we add 2π again to get
-&pi/3 + 2π = 5π/3
Since 0 ≤ 5π/3 ≤ 2π
5π/3 is coterminal with -7π/3.
For 2 and 3, proceed the same way.
Add or subtract 2π until the angle is between 0 and 2π.
1)
Since the angle is negative, we add 2π
-7π/3 + 2π =-π/3
The result is still negative, so we add 2π again to get
-&pi/3 + 2π = 5π/3
Since 0 ≤ 5π/3 ≤ 2π
5π/3 is coterminal with -7π/3.
For 2 and 3, proceed the same way.
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