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10 February, 09:38

Find four smallest positive numbers theta such that cosine = 1/2

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  1. 10 February, 11:42
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    Cos (x) = 0.5

    x=pi/3

    since cos is postive in the fourth quadrant and first quadrant

    x=pi/3+2*pi*k where k is an integer

    fourth quadrant

    x = (-pi/3) + 2*pi*k where k is an integer

    the first 3 values of K in the first quadrant are

    pi/3,7*pi/3,13*pi/3

    the first three postive values for the fourth quadrant are

    5*pi/3,11*pi/3,19*pi/3

    so the smallest three are

    pi/3,5*pi/3,7*pi/3,11*pi/3
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