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

Solve 7sinpi6 X 2 For The Four Smallest Positive Solutions class=

Sagot :

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]

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