Find the Asymptotes y=sin(x)

Problem

y=sin(x)

Solution

1. Identify the domain of the function. The sine function y=sin(x) is defined for all real numbers x so there are no vertical asymptotes.

2. Analyze the behavior as x approaches infinity. As x→∞ or x→−∞ the value of sin(x) oscillates continuously between −1 and 1

3. Determine if horizontal or oblique asymptotes exist. Because the function oscillates and does not approach a single constant value or a linear path as x→±∞ there are no horizontal or oblique asymptotes.

Final Answer

y=sin(x)* has no asymptotes

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