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Which angle is a positive coterminal angle of (-40^\circ)?

Answer and explanation

Correct answer: 320^\circ

Coterminal angles differ by an integral multiple of 360^\circ. Adding 360^\circ to -40^\circ gives \((-40^\circ+360^\circ)=320^\circ\), which is positive. In contrast, 340^\circ differs from -40^\circ by 380^\circ, not a multiple of 360^\circ. Exam tip: To find the least positive coterminal angle of a negative angle, add 360^\circ.

Related tags

TrigonometryAnglesCoterminal AnglesPositive AnglesClass 11 MathematicsTrigonometric FunctionsMathematicsClass 12 Mcq

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