Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value.
Determine the value of to the nearest degree. Justify your answer.

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  1. either 1 or -1 is attained only once on the given domain.

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  2. Steve - Could you elaborate on your answer please? I don't understand where you got those two numbers from

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  3. cos(x) assumes all values between -1 and 1. Each of those values appears twice in a period of the curve. Since you want a unique value,

    x = 0 so cos(x) = 1
    x = 180, so cos(x) = -1

    for any other value where cos(x) = k,
    cos(360-x) is also equal to k.

    Look at the graph and you will see what I mean.

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