Answer:
See below directions.
Step-by-step explanation:
The condition means you can get to the point by rotating no more than one revolution in either the positive or negative direction.
See the attached image to see the point . Think about how you get to that point: start at the origin, go right (along the positive x-axis) 3 units, then turn in the negative direction (to your right!) through an angle of .
Now, go again, starting at the origin, only this time, go 3 units right, then turn through an angle of . In other words, you turn one whole revolution <u>in addition</u> to the angle. Your point can now be described by .
Another description can be found by rotating in the opposite direction, so an angle of and <u>backing up</u> 3 units -- specify a "radius" of -3. The point is then .
You can also try subtracting one revolution from the angle, but be careful not to let the angle go outside the interval .
The changes you can try are:
add to the angle, leave <em>r</em> alone
subtract to the angle, leave <em>r</em> alone
add/subtract (half a revolution) to the angle, make <em>r</em> the <u>opposite</u><em><u>.</u></em>