Solve for x cos(x)=24/25

Problem

cos(x)=24/25

Solution

1. Identify the goal, which is to isolate the variable x by undoing the cosine function.

2. Apply the inverse cosine function, also known as arccos() to both sides of the equation.

3. Determine the general solution for x because the cosine function is periodic and even, meaning x=±arccos(24/25)+2*π*n for any integer n

4. Calculate the principal value using a calculator if a decimal approximation is required.

Final Answer

x=±arccos(24/25)+2*π*n

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