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Find the reference angle for a rotation of 
(pi)/(6).
Answer:

Find the reference angle for a rotation of π6 \frac{\pi}{6} .\newlineAnswer:\newline

Full solution

Q. Find the reference angle for a rotation of π6 \frac{\pi}{6} .\newlineAnswer:\newline
  1. 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 00 and 9090 degrees (or 00 and (π)/2(\pi)/2 radians) and is positive.
  2. Check for Adjustment: Determine if the given angle needs adjustment.\newlineSince (π)/(6)(\pi)/(6) is already between 00 and (π)/2(\pi)/2, it is in the first quadrant where the reference angle is the same as the angle itself.
  3. State Reference Angle: State the reference angle for the given rotation.\newlineThe reference angle for a rotation of (π)/(6)(\pi)/(6) is simply (π)/(6)(\pi)/(6) because it is already an acute angle.

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