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find the reference angle of the given angle. - 300° the reference angle…

Question

find the reference angle of the given angle. - 300° the reference angle for - 300° is □°.

Explanation:

Step1: Find coterminal angle

To find a positive coterminal angle with \(-300^\circ\), we add \(360^\circ\) (since coterminal angles differ by multiples of \(360^\circ\)).
\(-300^\circ + 360^\circ = 60^\circ\)

Step2: Determine reference angle

The angle \(60^\circ\) lies in the first quadrant. For an angle in the first quadrant, the reference angle is the angle itself. So the reference angle of \(60^\circ\) (and thus of \(-300^\circ\) since they are coterminal) is \(60^\circ\).

Answer:

\(60\)