Question

Sin(x/2)=0,5 ришить бистпро

Answer 1

$\sin( \frac{x}{2} ) = 0.5 \\ \sin( \frac{x}{2} ) = \frac{1}{2} \\ \frac{x}{2} = ( - 1)^{n} \arcsin( \frac{1}{2} ) + \pi n \\ x = ( - 1)^{n} \frac{2\pi}{6} + 2\pi n \\ x = ( - 1)^{n} \frac{\pi}{3} + 2\pi n, \: n \in Z$