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If an angle is (370^\circ), what is its principal angle between (0^\circ) and (360^\circ)?

Answer and explanation

Correct answer: \(10^\circ\)

Subtract one complete revolution, \(360^\circ\), from \(370^\circ\): \(370^\circ-360^\circ=10^\circ\). Thus, \(370^\circ\) is coterminal with \(10^\circ\), so its principal angle in the given interval is \(10^\circ\). An option such as \(20^\circ\) would require a remainder of \(20^\circ\), which is not obtained here. Exam tip: For angles greater than \(360^\circ\), divide by \(360^\circ\) and use the remainder to find the principal angle.

Related tags

Trigonometric FunctionsAnglesPrincipal AngleCoterminal AnglesDegreesMathematicsClass 12 Mcq

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