Question

Решите уравнение
Sin(arcsin(2x+3x))=2x+3

Answer 1

Ответ:

$\sin( \arcsin(2x + 3x) ) = 2x + 3 \\ \sin( \arcsin(5x) ) = 2x + 3 \\ x\in [ - \frac{1}{5}, \frac{1}{5} ] \\ \sin( \arcsin(t) ) = t \\ 5x = 2x + 3 \\ 3 = 5x - 2x \\ 3 = 3x \\ x = 1,x\in [ - \frac{1}{5}, \frac{1}{5} ] \\ ∅$