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If \( \theta=765^\circ \), where is the terminal side of \( \theta \)?

Answer and explanation

Correct answer: First quadrant

Subtracting one full revolution, \(765^\circ-720^\circ=45^\circ\). Since \(45^\circ\) lies between \(0^\circ\) and \(90^\circ\), the terminal side is in the first quadrant. The positive \(y\)-axis would require an angle of \(90^\circ\), or a coterminal angle. Exam tip: reduce any angle by multiples of \(360^\circ\) before identifying its quadrant or axis.

Related tags

Trigonometric FunctionsCoterminal AnglesTerminal SideQuadrantsDegree MeasureAnglesMathematicsClass 12 Mcq

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