For the rotation 1025^(@), 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, subtract multiples of 360 from 1025 until the result is within the desired range. 1025 - 360 = 665Continue subtracting 360 degrees: Continue subtracting 360 degrees: 665 - 360 = 305 Now, 305 is between 0 and 360 degrees.Coterminal angle determination: The coterminal angle is 305 degrees. To determine the quadrant, note that 305 degrees is more than 270 but less than 360, so it's in Quadrant IV.Quadrant identification: To find the reference angle, subtract 305 from 360 because it's in the fourth quadrant. 360 - 305 = 55 The reference angle is 55 degrees.

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For the rotation
1025^(@), 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 $1025^{\circ}$ , 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

1025^{\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, subtract multiples of $360$ from $1025$ until the result is within the desired range. $\newline$ $1025 - 360 = 665$
Continue subtracting $360$ degrees: Continue subtracting $360$ degrees: $\newline$ $665 - 360 = 305$ $\newline$ Now, $305$ is between $0$ and $360$ degrees.
Coterminal angle determination: The coterminal angle is $305$ degrees. $\newline$ To determine the quadrant, note that $305$ degrees is more than $270$ but less than $360$ , so it's in Quadrant IV.
Quadrant identification: To find the reference angle, subtract $305$ from $360$ because it's in the fourth quadrant. $\newline$ $360 - 305 = 55$ $\newline$ The reference angle is $55$ degrees.