# solve the equation sin x=sqrt(3)/2

solve the equation $\mathrm{sin}x=\sqrt{3}/2$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

$\mathrm{sin}x=\sqrt{3}/2$
$x=\mathrm{arcsin}\left(\sqrt{3}/2\right)+2\pi k,k\in Z$ или $x=\pi -\mathrm{arcsin}\left(\sqrt{3}/2\right)+2\pi n,n\in Z$
$x=\pi /3+2\pi k,k\in Zx=2\pi /3+2\pi n,n\in Z$
The solution to the equation can also be written using the formula:
$\mathrm{sin}x=\sqrt{3}/2$
$x=\left(-1{\right)}^{n}\mathrm{arcsin}\left(\sqrt{3}/2\right)+\pi n,n\in Z$
$x=\left(-1{\right)}^{n}\ast \pi /3+\pi n,n\in Z.$