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Find the reference angle for a rotation of (2pi)/(7). Answer:

Find the reference angle for a rotation of 2π7 \frac{2 \pi}{7} .\newlineAnswer:\newline

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Inverses of csc, sec, and cotright chevron icon

Full solution

Q. Find the reference angle for a rotation of 2π7 \frac{2 \pi}{7} .\newlineAnswer:\newline
  1. Identify Range: Identify the range for reference angles. Reference angles are always between 00 and π/2\pi/2 radians (or 00 and 9090 degrees) for rotations in standard position.
  2. Check Given Angle: Determine if the given angle, (2π)/7(2\pi)/7, is already within the range of a reference angle. Since (2π)/7(2\pi)/7 is less than π/2\pi/2, it is already within the range of a reference angle.
  3. Conclude Reference Angle: Conclude that the reference angle for a rotation of (2π)/7(2\pi)/7 is the angle itself, as it is already between 00 and π/2\pi/2 radians.

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