Question

Б) sin (х на 4 + п на 3) = корень 3 на 2
Очень

Answer 1

$\sin( \frac{x}{4} + \frac{\pi}{3} ) = \frac{ \sqrt{3} }{2} \\ \frac{x}{4} + \frac{\pi}{3} = ( - 1) {}^{n} \arcsin( \frac{ \sqrt{3} }{2} ) + \pi n \\ \frac{x}{4} = ( - 1) {}^{n} \frac{\pi}{3} - \frac{\pi}{3} + \pi n \\ \frac{x}{4} = (( - 1) {}^{n} - 1) \frac{\pi}{3} + \pi n \\ x = (( - 1) {}^{n} - 1) \frac{4\pi}{3} + 4\pi n$