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For the rotation -337^(@), 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 −337∘ -337^{\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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Full solution

Q. For the rotation −337∘ -337^{\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. Identify Coterminal Angle: The coterminal angle 2323 degrees is between 00 and 360360 degrees, so it's the angle we're looking for.
  2. Determine Quadrant: To determine the quadrant, check the angle's value. Since 2323 degrees is between 00 and 9090 degrees, it lies in Quadrant I.
  3. Calculate Reference Angle: The reference angle for an angle in Quadrant I is the angle itself.\newlineCalculation: Reference angle = 2323 degrees

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