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What is the domain of y = cos ⁡ ( x ) ? a. [ 0 , [infinity] ) b. 2 ⁢ π c. ( - [infinity] , [infinity] ) d. [ - 1 , 1 ]

User Shahbaz
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1 Answer

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Final answer:

The domain of the function y = cos(x) is all real numbers, which is option c. (-∞, ∞).

Step-by-step explanation:

The question asks what the domain of the function y = cos(x) is, where x represents the independent variable and y the dependent variable. In mathematics, the domain of a function is the set of all possible input values (x-values) for which the function is defined. The cosine function is defined for all real numbers because it represents the ratio of the adjacent side to the hypotenuse in a right-angled triangle, or more generally, the cosine of an angle in a unit circle, for any angle value. Thus, it can take any real number as its argument. Therefore, the correct answer is c. (-∞, ∞), which means that the domain of the cosine function is all real numbers.

User Joseph
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