Find the reference angle in radians for a rotation of pi/9.
Check the final answer first, then review the worked steps.
Problem
Find the reference angle in radians for a rotation of pi/9.
Answer
\(\frac{\pi}{9}\)
Step-by-step solution
- Understand Reference Angles: A reference angle is the acute angle formed between the terminal side of an angle and the x-axis. It is always positive.
- Analyze the Given Angle: The given angle is $\frac{\pi}{9}$ radians. This angle is in the first quadrant ($0 < \frac{\pi}{9} < \frac{\pi}{2}$).
- Determine the Reference Angle: For angles in the first quadrant, the reference angle is the angle itself. Therefore, the reference angle for $\frac{\pi}{9}$ is $\frac{\pi}{9}$.