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xo asked in Science & MathematicsMathematics · 2 years ago

PLEASE HELP Which pair of angles are coterminal with −4π3 radians? a. 2π3, 8π3 d. −10π3, −13π3?

1 Answer

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  • Which ones differ by multiples of 2pi radians?

    -4pi/3 + 2pi * k

    k = 0 , -4pi/3

    k = 1 , -4pi/3 + 2pi = -4pi/3 + 6pi/3 = 2pi/3

    k = 2 , -4pi/3 + 4pi = -4pi/3 + 12pi/3 = 8pi/3

    k = 3 , -4pi/3 + 6pi = -4pi/3 + 18pi/3 = 14pi/3

    k = -1, -4pi/3 - 2pi = -4pi/3 - 6pi/3 = -10pi/3

    k = -2 , -4pi/3 - 4pi = -4pi/3 - 12pi/3 = -16pi/3

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