Solve for x sin(x)=12/13

Problem

sin(x)=12/13

Solution

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

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

3. Determine the general solution by accounting for the periodicity of the sine function, which repeats every 2*π radians, and the identity sin(π−θ)=sin(θ)

4. Express the solution using the arcsine notation, where n represents any integer.

Final Answer

x=arcsin(12/13)+2*n*π,π−arcsin(12/13)+2*n*π

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