Question

Solve 7sin(pi/6 * x) = 2 for the four smallest positive solutions

Answer 1

Answer:

x =0.55, 5.45, 12.55, 17.45

Explanation:

First, we divide both sides by 7. This gives

$\sin(\frac{\pi}{6}x)=\frac{2}{7}$

then taking the inverse sine of both sides gives

$\frac{\pi}{6}x=2\pi n\pm\sin^{-1}[\frac{2}{7}]$

since

$\sin^{-1}[\frac{2}{7}]=16.60$

Therefore,

$\frac{\pi}{6}x=2\pi n\pm16.60$

Multpilying both sides by 6/π