Answered

IDNLearn.com: Where curiosity meets clarity and questions find their answers. Ask anything and receive well-informed answers from our community of experienced professionals.

Select the correct answer.

What is the domain of the function [tex]y = \sin(x)[/tex]?

A. [tex]2 \pi[/tex]
B. [tex][0, \infty)[/tex]
C. [tex](-\infty, \infty)[/tex]
D. [tex][-1, 1][/tex]

Sagot :

GinnyAnsweridn
The function [tex]\( y = \sin(x) \)[/tex] is known as the sine function, which is a fundamental function in trigonometry.

To determine the domain of this function, we need to identify the set of all possible input values [tex]\( x \)[/tex] for which the function [tex]\( y = \sin(x) \)[/tex] is defined.

1. The sine function is defined for all real numbers. It does not have any restrictions or undefined points.
2. Therefore, regardless of the value of [tex]\( x \)[/tex] that you input into the function, [tex]\( \sin(x) \)[/tex] will give you a real number.

Thus, the correct domain of the function [tex]\( y = \sin(x) \)[/tex] is all real numbers. Mathematically, this is represented as:
[tex]\[ (-\infty, \infty) \][/tex]

Therefore, the correct answer is:
C. [tex]\((- \infty, \infty)\)[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.