For the rotation -17^(@), 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 ◻^(@).

Add/Subtract 360 Degrees: To find a coterminal angle between 0 and 360 degrees, add or subtract multiples of 360 degrees until the angle is within the desired range. Calculation: -17 + 360 = 343 degrees.Check Range: The coterminal angle 343 degrees is less than 360 degrees and greater than 0 degrees, so it's in the correct range.Determine Quadrant: To determine the quadrant, observe that 343 degrees is more than 270 degrees but less than 360 degrees, so it lies in Quadrant IV.Calculate Reference Angle: The reference angle is the acute angle formed by the terminal side of the angle and the x-axis. For angles in Quadrant IV, the reference angle is 360 degrees minus the angle. Calculation: 360 - 343 = 17 degrees.

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For the rotation
-17^(@), 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 $-17^{\circ}$ , 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

-17^{\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}

Add/Subtract $360$ Degrees: To find a coterminal angle between $0$ and $360$ degrees, add or subtract multiples of $360$ degrees until the angle is within the desired range. $\newline$ Calculation: $-17 + 360 = 343$ degrees.
Check Range: The coterminal angle $343$ degrees is less than $360$ degrees and greater than $0$ degrees, so it's in the correct range.
Determine Quadrant: To determine the quadrant, observe that $343$ degrees is more than $270$ degrees but less than $360$ degrees, so it lies in Quadrant IV.
Calculate Reference Angle: The reference angle is the acute angle formed by the terminal side of the angle and the x-axis. For angles in Quadrant IV, the reference angle is $360$ degrees minus the angle. $\newline$ Calculation: $360 - 343 = 17$ degrees.