For the rotation 1366^(@), 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 Multiples of 360: To find the coterminal angle between 0 and 360 degrees, we need to subtract or add multiples of 360 degrees until the angle is within the desired range. 1366 - 360 * 3 = 1366 - 1080 = 286 degrees.Check Quadrant: Now we check the quadrant for 286 degrees. Since it's more than 270 and less than 360, it's in Quadrant IV.Find Reference Angle: To find the reference angle, we subtract the angle from 360 degrees because it's in the fourth quadrant. 360 - 286 = 74 degrees.

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For the rotation
1366^(@), 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 $1366^{\circ}$ , 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

1366^{\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 Multiples of $360$ : To find the coterminal angle between $0$ and $360$ degrees, we need to subtract or add multiples of $360$ degrees until the angle is within the desired range. $\newline$ $1366 - 360 \times 3 = 1366 - 1080 = 286$ degrees.
Check Quadrant: Now we check the quadrant for $286$ degrees. Since it's more than $270$ and less than $360$ , it's in Quadrant IV.
Find Reference Angle: To find the reference angle, we subtract the angle from $360$ degrees because it's in the fourth quadrant. $\newline$ $360 - 286 = 74$ degrees.