For the rotation 670^(@), 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 ◻^(@).

Subtract 360 degrees: To find the coterminal angle, subtract 360 degrees until the angle is between 0 and 360 degrees. 670 - 360 = 310Check range: Check if 310 is between 0 and 360 degrees. Yes, it is.Determine quadrant: Determine the quadrant for 310 degrees. Since 310 is between 270 and 360, it's in Quadrant IV.Find reference angle: Find the reference angle by subtracting 310 from 360. 360 - 310 = 50 degrees.

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For the rotation
670^(@), 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 $670^{\circ}$ , 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

670^{\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}

Subtract $360$ degrees: To find the coterminal angle, subtract $360$ degrees until the angle is between $0$ and $360$ degrees. $\newline$ $670 - 360 = 310$
Check range: Check if $310$ is between $0$ and $360$ degrees. $\newline$ Yes, it is.
Determine quadrant: Determine the quadrant for $310$ degrees. $\newline$ Since $310$ is between $270$ and $360$ , it's in Quadrant IV.
Find reference angle: Find the reference angle by subtracting $310$ from $360$ . $\newline$ $360 - 310 = 50 \text{ degrees}.$