Find the reference angle for a rotation of start fraction, 7, pi, divided by, 9, end fraction 97π .
Question
Find the reference angle for a rotation of start fraction, 7, pi, divided by, 9, end fraction 97π .
Solution
The reference angle for a rotation is always measured in the positive direction (counterclockwise) from the x-axis to the terminal side of the angle. It is always between 0 and 180 degrees (or 0 and π radians).
The given angle is 7π/9 radians.
Since this angle is already between 0 and π radians, it is its own reference angle.
So, the reference angle for a rotation of 7π/9 radians is 7π/9 radians.
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