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For the rotation 965^(@), 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 965∘ 965^{\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 965∘ 965^{\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 is 245245 degrees.\newlineNow, we determine the quadrant where 245245 degrees lies.\newlineSince 245245 is greater than 180180 but less than 270270, it lies in Quadrant III.
  2. Determine Quadrant: To find the reference angle, we subtract the angle from 360360 if it's in Quadrant III or IV, or from 180180 if it's in Quadrant II.\newline360−245=115360 - 245 = 115\newlineThe reference angle is 115115 degrees.

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