Question

Помогите решить!
sin пи*x/12=0,5

Answer 1

$sin \dfrac{\pi x}{12}=\dfrac{1}{2}\\ \\ 1)~~\dfrac{\pi x}{12}=\dfrac{\pi }{6}+2\pi n~~~~~~~~~~~~~~2)~~\dfrac{\pi x}{12}=\dfrac{5\pi }{6}+2\pi m\\ \\ ~~~~x=\dfrac{\pi \cdot 12}{6\cdot \pi}+\dfrac{2\pi n\cdot 12}{\pi}~~~~~~~~~~~x=\dfrac{5\pi \cdot 12}{6\cdot \pi}+\dfrac{2\pi m\cdot 12}{\pi}\\ \\ \\ ~~~~\boldsymbol{x_1=2+24n,~~~~~~~~~~~~~~~x_2=10+24m;~~n,m\in Z}$