For the angle 7 Pi over 3, find the nearest two positive coterminal angles and the nearest two negative coterminal angles.

Answer 1

To find the answers, you add and subtract multiples of 2 pi

1. 7⫪/3+2⫪=7⫪/3+6⫪/3=13⫪/3 (positive)
2. 7⫪/3-2⫪=7⫪/3-6⫪/3=1⫪/3 (positive)
3. 1⫪/3-2⫪=1⫪/3-6⫪/3=-5⫪/3 ( negative)
4. -5⫪/3-2⫪=-5⫪/3-6⫪/3=-11⫪/3 (negative )

Answer 2

7π/3 have closest positive coterminal angles: 7π/3 - 2π = π/3 and 7π/3 + 2π = 13π/3;

Closest coterminal negative angles: π/3 - 2π = - 5π/3 and - 5π/3 - 2π = - 11π/3