math

Find the coterminal angles for 8pi/3.
I found one:
8pi/3 - 2pi= 2pi/3

My textbook says that I should add subtract 4pi to find the other one and I'm very confused as to how you know what to add/ subtract.

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  1. A standard rotation is 2π.
    So whatever angle you have either adding or subracting multiples of 2π will yield a coterminal angle.
    e.g
    8π/3 -----> think 480°
    8π/2 - 2π = 2π/3 -----> think 120°
    8π/3 + 2π = 14π/3 -----> think 840°
    8π/3 - 4π = -4π/3 -----> think -240°
    8π/3 + 12π = 44π/3 -----> think 2640°

    now use your calculator and find sin or any other trig function of thos angles, you will get the same answer.

    If you wanted only those angles -2π ≤ Ø ≤ 2π
    you would have -4π/3 and 2π/3

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