Solve for x 4sin(x)+5=7

Problem

4*sin(x)+5=7

Solution

1. Isolate the term containing the sine function by subtracting 5 from both sides of the equation.

4*sin(x)=2

2. Divide both sides by 4 to solve for sin(x)

sin(x)=2/4

3. Simplify the fraction on the right side.

sin(x)=1/2

4. Determine the general solution for x by finding the angles where the sine value is 1/2

x=π/6+2*n*π

x=(5*π)/6+2*n*π

Final Answer

x=π/6+2*n*π,(5*π)/6+2*n*π

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