Solve for x tan(x)=3/4

Problem

tan(x)=3/4

Solution

1. Identify the goal, which is to find the value of x that satisfies the trigonometric equation.

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

3. Write 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.

Final Answer

x=arctan(3/4)+n*π

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