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What is the coterminal angle of (-450^\circ) between (0^\circ) and (360^\circ)?

Answer and explanation

Correct answer: 270^\circ

Coterminal angles differ by an integral multiple of 360^\circ. \((-450^\circ)+2(360^\circ)=270^\circ\), and this lies between 0^\circ and 360^\circ. Obtaining 90^\circ would require adding 540^\circ, which is not a multiple of 360^\circ, so it is not coterminal with the given angle. Exam tip: For a negative angle, keep adding 360^\circ until it lies in the required interval.

Related tags

Trigonometric FunctionsCoterminal AnglesNegative AnglesStandard AnglesClass 11 MathematicsAnglesMathematicsClass 12 Mcq

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