Question

y=3tgx. Найти область определения.

Answer 1

х не равен п/2 +пк

наверное так:)

Answer 2

Такая же область определения как у tg x.

 

$D(y)=\left(-\frac{\pi}{2}+\pi*n;\frac{\pi}{2}+\pi*n\right),\quad n\in Z$

 

Только в точках кратных $\frac{\pi}{2}$ функция неопределена.

Answer 3

Finding the Domain of y=3tgx

To find the domain of the function y=3tgx, we need to consider the values of x for which the function is defined.

The domain of the tangent function is all real numbers except the odd multiples of π/2. This is because the tangent function is undefined at odd multiples of π/2 due to division by zero.

Therefore, the domain of y=3tgx is all real numbers except x = (π/2) + π * n, where n is an integer.

Domain of y=3tgx: All real numbers except x = (π/2) + π * n, where n is an integer.