For the rotation 708∘, find the coterminal angle from 0^{\circ} \leq \theta<360^{\circ} , the quadrant, and the reference angle.The coterminal angle is □∘, which lies in Quadrant □, with a reference angle of □∘.
Q. For the rotation 708∘, find the coterminal angle from 0∘≤θ<360∘, the quadrant, and the reference angle.The coterminal angle is □∘, which lies in Quadrant □, with a reference angle of □∘.
Subtract 360 from 708: To find the coterminal angle between 0 and 360 degrees, subtract multiples of 360 from 708 until the result is within the desired range.Calculation: 708−360=348.
Identify coterminal angle: Since 348 is less than 360 and greater than 0, it is the coterminal angle we are looking for.
Determine quadrant: To determine the quadrant, observe that 348 degrees is between 270 and 360 degrees, which places it in Quadrant IV.
Find reference angle: To find the reference angle, subtract the coterminal angle from 360 degrees.Calculation: 360−348=12 degrees.
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