Solve for x tan(x)=15/8

Problem

tan(x)=15/8

Solution

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

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

x=arctan(15/8)

3. Account for the period of the tangent function, which is π (or 180, to find the general solution.

x=arctan(15/8)+n*π

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

arctan(15/8)≈1.0808* radians

arctan(15/8)≈61.93

Final Answer

x=arctan(15/8)+n*π

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