Question

sinx+1=cosx решить уравнение

Answer 1

sin x - cos x = -1
$sqrt{2} sin (x- frac{pi}{4} )=-1\ x-frac{pi}{4}=(-1)^{k+1}cdot frac{pi}{4}+ pi k,k in Z\ x=(-1)^{k+1}cdot frac{pi}{4}+frac{pi}{4}+pi k,k in Z$