Solve for x tan(x)=4/3

Problem

tan(x)=4/3

Solution

1. Identify the equation as a basic trigonometric equation where the tangent of an angle x is a given constant.

2. Apply the inverse tangent function to both sides of the equation to isolate x

3. Determine the general solution by adding the period of the tangent function, which is n*π where n is any integer.

4. Calculate the principal value using a calculator if a decimal approximation is required, or leave it in terms of the arctangent function.

Final Answer

x=arctan(4/3)+n*π

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