Q. Find the reference angle for a rotation of 6π.Answer:
Concept of Reference Angle: Understand the concept of a reference angle. A reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis. It is always between 0 and 90 degrees (or 0 and (π)/2 radians) and is positive.
Check for Adjustment: Determine if the given angle needs adjustment.Since (π)/(6) is already between 0 and (π)/2, it is in the first quadrant where the reference angle is the same as the angle itself.
State Reference Angle: State the reference angle for the given rotation.The reference angle for a rotation of (π)/(6) is simply (π)/(6) because it is already an acute angle.