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Find the Domain dist=2Rcos(c)

Problem

dist(=)*2*R*cos(c)

Solution

  1. Identify the variables in the function. Here, dist() is the dependent variable, while R and c are the independent variables.

  2. Analyze the components of the expression 2*R*cos(c) The constant 2 and the variable R are defined for all real numbers.

  3. Evaluate the cosine function. The function cos(c) is defined for all real values of c

  4. Determine the domain based on the context of the variables. In a general mathematical context, R∈ℝ and c∈ℝ

  5. Consider physical constraints if R represents a radius and dist() represents a distance. Typically, R≥0 However, without specific constraints, the mathematical domain is all real numbers for both variables.

Final Answer

Domain: *{[(R,c),R∈ℝ,c∈ℝ]}


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