Find the Domain 2sin(x)cos(x)=1

Problem

2*sin(x)*cos(x)=1

Solution

1. Identify the functions involved in the equation. The expression consists of the sine function sin(x) and the cosine function cos(x)

2. Recall the domain of basic trigonometric functions. Both sin(x) and cos(x) are defined for all real numbers.

3. Check for restrictions. There are no denominators that could be zero, no square roots of negative numbers, and no logarithms in the equation.

4. Determine the domain. Since there are no values of x that make the expression undefined, the domain is the set of all real numbers.

Final Answer

Domain=(−∞,∞)

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