Question

HELP PLEAS АЛГЕБРА решите ПЖ

Answer 1

$Sin5x Cos4x-Cos5xSin4x=1\\\\Sin(5x-4x)=1\\\\Sinx=1\\\\\boxed{x=\frac{\pi }{2} +2\pi n,n\in Z}$

Answer 2

Ответ:

$\boxed{\ sin(\alpha -\beta )=sin\alpha \cdot cos\beta -cos\alpha \cdot sin\beta \ }\\\\\\sin5x\cdot cos4x-cos5x\cdot sin4x=1\\\\sin(5x-4x)=1\ \ \ \to \ \ \ sinx=1\\\\\boxed{\ x=\dfrac{\pi}{2}+2\pi k\ ,\ k\in Z\ }$