Question

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

Answer 1

x =0.55, 5.45, 12.55, 17.45

Step-by-step explanation:

First, we divide both sides by 7. This gives

`\sin((\pi)/(6)x)=(2)/(7)`

then taking the inverse sine of both sides gives

`(\pi)/(6)x=2\pi n\pm\sin^(-1)[(2)/(7)]`

since

`\sin^(-1)[(2)/(7)]=16.60`

Therefore,

`(\pi)/(6)x=2\pi n\pm16.60`

Multpilying both sides by 6/π