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What is the positive coterminal angle of (-30^\circ)?

Answer and explanation

Correct answer: \(330^\circ\)

Coterminal angles differ by an integral multiple of \(360^\circ\). Thus, \(-30^\circ+360^\circ=330^\circ\), so \(330^\circ\) is the positive coterminal angle. \(300^\circ\) has a different terminal side, so it is not coterminal with \(-30^\circ\). Exam tip: To obtain the least positive coterminal angle of a negative angle, add \(360^\circ\).

Related tags

Trigonometric FunctionsAnglesCoterminal AnglesDegree MeasureClass 11 MathematicsMathematicsClass 12 Mcq

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