For the rotation 687^(@), 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 ◻.

Check Angle Range: Now, we check if 327 is between 0 and 360 degrees. 327 is less than 360, so it's the coterminal angle we're looking for.Determine Quadrant: To determine the quadrant, we look at the angle's size. Since 327 degrees is more than 270 but less than 360, it's in Quadrant IV.Find Reference Angle: To find the reference angle, we subtract the coterminal angle from 360 degrees because it's in the fourth quadrant. 360 - 327 = 33 degrees.

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For the rotation
687^(@), 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 $687^{\circ}$ , find the coterminal angle from 0^{\circ} \leq \theta<360^{\circ} , the quadrant, and the reference angle. $\newline$ The 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

687^{\circ}

, find the coterminal angle from

0^{\circ} \leq \theta<360^{\circ}

, the quadrant, and the reference angle.

\newline

The coterminal angle is

\square^{\circ}

, which lies in Quadrant

\square

, with a reference angle of

\square^{\circ}

Check Angle Range: Now, we check if $327$ is between $0$ and $360$ degrees. $\newline$ $327$ is less than $360$ , so it's the coterminal angle we're looking for.
Determine Quadrant: To determine the quadrant, we look at the angle's size. $\newline$ Since $327$ degrees is more than $270$ but less than $360$ , it's in Quadrant IV.
Find Reference Angle: To find the reference angle, we subtract the coterminal angle from $360$ degrees because it's in the fourth quadrant. $\newline$ $360 - 327 = 33$ degrees.