Question

6

Select the correct answer.
What is the domain of y = cos(z)?
O A. [0, 00)
OB.
2T
O C. (-00,00)
O D. [-1, 1]
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Answer 1

The correct answer is C. (-∞, ∞).

The cosine function is defined for all real numbers as it takes an input of an angle (in radians) and outputs a value between -1 and 1. Therefore, the domain of y = cos(z) is all real numbers, which is represented as (-∞, ∞) in interval notation.

Option A is incorrect because [0, ∞) would be the range of the cosine function, not its domain.

Option B is incorrect because 2π is a period of the cosine function, not its domain.

Option D is incorrect because [-1, 1] is the range of the cosine function, not its domain.