find the measures of two angles one positive and negative that are coterminal with pi/2

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find the measures of two angles one positive and negative that are coterminal with pi/2

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    2021-09-09T16:08:05+00:00

    To find a positive and a negative angle coterminal with a given angle, you can add and subtract if the angle is measured in degrees or if the angle is measured in radians

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    2021-09-09T16:08:28+00:00

    Answer:  The required measures of two angles one positive and negative that are co-terminal with \dfrac{\pi}{2} are -\dfrac{3\pi}{2} and \dfrac{5\pi}{2}.

    Step-by-step explanation:  We are given to find measures of two angles one positive and negative that are co-terminal with \dfrac{\pi}{2}.

    Let x and y represents the positive and negative co-terminal angles respectively.

    We know that

    the measures of any two co-terminal angles differ from each other by a multiple of 2\pi.

    So, the values of x and y can be found as follows :

    x=\dfrac{\pi}{2}-2\pi=-\dfrac{3\pi}{4},\\\\\\y=\dfrac{\pi}{2}+2\pi=\dfrac{5\pi}{2}.

    Thus, the required measures of two angles one positive and negative that are co-terminal with \dfrac{\pi}{2} are -\dfrac{3\pi}{2} and \dfrac{5\pi}{2}.

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