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For the rotation -311^(@), find the coterminal angle from 0^(@) <= theta < 360^(@), the quadrant, and the reference angle. The coterminal angle is ◻^(@), which lies in Quadrant ◻, with a reference angle of ◻^(@).

For the rotation −311∘ -311^{\circ} , find the coterminal angle from 0^{\circ} \leq \theta<360^{\circ} , the quadrant, and the reference angle.\newlineThe coterminal angle is □∘ \square^{\circ} , which lies in Quadrant □ \square, with a reference angle of □∘ \square^{\circ} .

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Q. For the rotation −311∘ -311^{\circ} , find the coterminal angle from 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} , the quadrant, and the reference angle.\newlineThe coterminal angle is □∘ \square^{\circ} , which lies in Quadrant □ \square, with a reference angle of □∘ \square^{\circ} .
  1. Add 360360 degrees: To find the coterminal angle between 00 and 360360 degrees, add 360360 degrees to −311-311 degrees until the result is within the desired range.\newline−311+360=49-311 + 360 = 49 degrees.
  2. Identify Quadrant: The coterminal angle is 4949 degrees, which lies in Quadrant I because it's between 00 and 9090 degrees.
  3. Find Reference Angle: The reference angle for an angle in Quadrant I is the angle itself, so the reference angle is 4949 degrees.

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