Find the Domain y=sin(x)

Problem

y=sin(x)

Solution

1. Identify the function type. The function y=sin(x) is a basic trigonometric function.

2. Analyze the input requirements. The sine function is defined for all real numbers because any angle, whether positive, negative, or zero, can be represented on the unit circle.

3. Determine the constraints. There are no denominators that could be zero and no square roots of negative numbers in the expression sin(x)

4. Conclude the domain. Since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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