Find the exact value of each expression, if it is defined. (If an answer is undefined, enter UNDEFINED.)(a)cos−1 22 (b)cos−1(1) (c)cos−1 − 22
Question
Find the exact value of each expression, if it is defined. (If an answer is undefined, enter UNDEFINED.)(a)cos−1 22 (b)cos−1(1) (c)cos−1 − 22
Solution
(a) The value of cos−1 22 is undefined because the range of the cosine function is -1 to 1. Any number outside this range, like 22, is undefined.
(b) The value of cos−1(1) is 0. This is because the cosine of 0 is 1.
(c) The value of cos−1 − 22 is also undefined for the same reason as in part (a). The number -22 is outside the range of the cosine function.
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