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For the rotation 440^(@), 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 440∘ 440^{\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 440∘ 440^{\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. Determine Quadrant: The coterminal angle is 80∘80^\circ, which is between 0∘0^\circ and 360∘360^\circ.\newlineNow, determine the quadrant where 80∘80^\circ lies.\newlineSince 80∘80^\circ is between 0∘0^\circ and 90∘90^\circ, it lies in Quadrant I.
  2. Find Reference Angle: Next, find the reference angle for 80°80°.\newlineIn Quadrant I, the reference angle is the angle itself.\newlineReference angle = 80°80°

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