Solve for x sin(x)+2=3

Problem

sin(x)+2=3

Solution

1. Isolate the sine term by subtracting 2 from both sides of the equation.

sin(x)=3−2

sin(x)=1

2. Identify the values of x where the sine function equals 1 on the unit circle.

x=π/2

3. Generalize the solution to include all possible rotations by adding multiples of 2*π where n is any integer.

x=π/2+2*π*n

Final Answer

sin(x)+2=3⇒x=π/2+2*π*n

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