Answer:
The values of x will be as follows:
[tex]x=0.33036+2\pi n,\:x=\pi -0.33036 +2\pi n[/tex]
Step-by-step explanation:
So solve the general equation of the trigonometric equation, we need to know the general solution of each trigonometric ratios and the inverse trigonometric values.
Now, here the trigonometric equation is:
[tex]\sin \left(x\right)=\frac{32.1146}{99}[/tex]
So the general solution will be given by:
[tex]x=\arcsin \left(\frac{32.1146}{99}\right)+2\pi n,\:x=\pi -\arcsin \left(\frac{32.1146}{99}\right)+2\pi n\\[/tex]
[tex]x=0.33036+2\pi n,\:x=\pi -0.33036 +2\pi n[/tex]
So this is the required solution.