For the rotation 804^(@), 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 from 804: To find the coterminal angle between 0 and 360 degrees, subtract 360 degrees from 804 degrees until the result is within the desired range. 804 - 360 = 444 degrees.Subtract 360 again: Subtract 360 degrees again because 444 is still greater than 360. 444 - 360 = 84 degrees.Identify coterminal angle quadrant: The coterminal angle is 84 degrees, which is between 0 and 90 degrees, so it lies in Quadrant I.Determine reference angle: Since 84 degrees is in Quadrant I, the reference angle is the same as the coterminal angle, which is 84 degrees.

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For the rotation
804^(@), 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 $804^{\circ}$ , 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

804^{\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 $360$ from $804$ : To find the coterminal angle between $0$ and $360$ degrees, subtract $360$ degrees from $804$ degrees until the result is within the desired range. $\newline$ $804 - 360 = 444$ degrees.
Subtract $360$ again: Subtract $360$ degrees again because $444$ is still greater than $360$ . $\newline$ $444 - 360 = 84$ degrees.
Identify coterminal angle quadrant: The coterminal angle is $84^\circ$ , which is between $0$ and $90^\circ$ , so it lies in Quadrant I.
Determine reference angle: Since $84$ degrees is in Quadrant I, the reference angle is the same as the coterminal angle, which is $84$ degrees.