Determine the least positive coterminal of the angle 943degrees
943 ° = 720 ° + 223 ° = 2 * 360 ° + 223 °
Coterminal angle = 223 °
To find the least positive coterminal angle, you need to subtract multiples of 360 degrees from the given angle until you get an angle less than or equal to 360 degrees.
In this case, you can start by subtracting 360 degrees from 943 degrees:
943 - 360 = 583
Since 583 is still greater than 360, you can continue subtracting 360:
583 - 360 = 223
Now, you have an angle, 223 degrees, that is less than 360 degrees. This is the least positive coterminal angle of 943 degrees.