what is the domain of a sine function?\na. positive numbers\nc. negative numbers\nb. all real numbers\nd…

Answer:

B. All real numbers

Explanation:

Step1: Recall the definition of domain

The domain of a function is the set of all possible input values (x - values).

Step2: Analyze the sine function (y = \sin(x))

For any real - valued input (x), the sine function is defined. There is no real number (x) for which (\sin(x)) is undefined. For example, if (x = 0), (\sin(0)=0); if (x=\frac{\pi}{2}), (\sin(\frac{\pi}{2}) = 1); if (x =-\frac{\pi}{2}), (\sin(-\frac{\pi}{2})=-1). Options A (positive numbers) and C (negative numbers) are too restrictive as the sine function is defined for both positive and negative values. Option D (positive numbers including zero) is also incorrect because the sine function is defined for negative real numbers as well. So the domain of the sine function is all real numbers.