Question

Решить уравнение : √cosecx=1​

Answer 1

$\star \ \ cosec\, x=\dfrac{1}{sinx}\ \ \star \\\\\\\sqrt{cosec\, x}=1\ \ ,\ \ \ ODZ:\ \ x\ne \pi n\ ,\ n\in Z\\\\\dfrac{1}{\sqrt{sinx}}=1\ \ ,\ \ \ \sqrt{sinx}=1\ \ ,\ \ sinx=1\ \ ,\\\\\\x=\dfrac{\pi}{2}+2\pi n\ ,\ n\in Z$