For the rotation 966^(@), 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 966 until the result is within the desired range. 966 - 360 = 606 606 - 360 = 246Find Coterminal Angle: The coterminal angle is 246 degrees.Determine Quadrant: To determine the quadrant, check the angle range. Angles between 180 and 270 degrees lie in Quadrant III.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 III, subtract the angle from 180 degrees. Reference angle = 246 - 180 = 66 degrees.

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For the rotation
966^(@), 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 $966^{\circ}$ , 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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Algebra 1

Transformations of quadratic functions

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Q. For the rotation

966^{\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 $966$ until the result is within the desired range. $\newline$ $966 - 360 = 606$ $\newline$ $606 - 360 = 246$
Find Coterminal Angle: The coterminal angle is $246^\circ$ .
Determine Quadrant: To determine the quadrant, check the angle range. Angles between $180$ and $270$ degrees lie in Quadrant III.
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 III, subtract the angle from $180$ degrees. $\newline$ Reference angle = $246 - 180 = 66$ degrees.