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I just wanted to make sure I got this question right

I Just Wanted To Make Sure I Got This Question Right class=

Sagot :

We are given the following expression:

[tex]y=arcsin(\frac{-\sqrt{3}}{2})[/tex]

The general solution is of the form:

[tex]y=*\pm2\pi k[/tex]

The first, number is the first solution to the expression which is:

[tex]arcsin(\frac{-\sqrt{3}}{2})=\frac{4\pi}{3}[/tex]

Therefore, the solution is:

[tex]y=\frac{4\pi}{3}\pm2\pi k[/tex]

The other possible solution is:

[tex]arcs\imaginaryI n(\frac{-\sqrt{3}}{2})=\frac{5\pi}{3}[/tex]

Therefore, the other possible solution is:

[tex]y=\frac{5\pi}{3}\pm2\pi k[/tex]

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