Answer:
x =0.55, 5.45, 12.55, 17.45
Explanation:
First, we divide both sides by 7. This gives
[tex]\sin(\frac{\pi}{6}x)=\frac{2}{7}[/tex]
then taking the inverse sine of both sides gives
[tex]\frac{\pi}{6}x=2\pi n\pm\sin^{-1}[\frac{2}{7}][/tex]
since
[tex]\sin^{-1}[\frac{2}{7}]=16.60[/tex]
Therefore,
[tex]\frac{\pi}{6}x=2\pi n\pm16.60[/tex]
Multpilying both sides by 6/π
[tex][/tex]
