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For the rotation 844^(@), 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 844∘ 844^{\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 844∘ 844^{\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. Subtract 360360°: To find the coterminal angle between 0°0° and 360°360°, subtract 360°360° from 844°844° until the result is within the desired range.\newline844°−360°=484°844° - 360° = 484°\newline484°−360°=124°484° - 360° = 124°
  2. Identify Quadrant: The coterminal angle is 124∘124^\circ, which is between 90∘90^\circ and 180∘180^\circ, so it lies in Quadrant II.
  3. Find Reference Angle: To find the reference angle, subtract the coterminal angle from 180∘180^\circ because it's in Quadrant II.\newline180∘−124∘=56∘180^\circ - 124^\circ = 56^\circ

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