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What is the coterminal angle of (420^\circ) between (0^\circ) and (360^\circ)?

Answer and explanation

Correct answer: \(60^\circ\)

Coterminal angles differ by an integral multiple of \(360^\circ\). Since \(420^\circ-360^\circ=60^\circ\), the coterminal angle between \(0^\circ\) and \(360^\circ\) is \(60^\circ\). \(90^\circ\) is a different angle and cannot be obtained from \(420^\circ\) by adding or subtracting a whole multiple of \(360^\circ\). Exam tip: add or subtract \(360^\circ\) until the angle lies in the required interval.

Related tags

Trigonometric FunctionsAnglesCoterminal AnglesDegree MeasureClass 11 MathematicsMathematicsClass 12 Mcq

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