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March 27, 2017

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Find an angle between 0 and 2Ð that is coterminal with given angle.
1. -7Ð /3
2. 10
3. 51Ð /2

  • math - ,

    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.

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