Question

Ctg(3x-п)=0 ................

Answer 1

Ответ:0

Объяснение:2*9=0

Answer 2

To solve the equation $\text{Ctg}(3x-п) = 0$, we need to find the values of $x$ that satisfy this equation.

First, let's clarify that $\text{Ctg}$ typically refers to the cotangent function, which is the reciprocal of the tangent function. The cotangent of an angle $\theta$ is defined as:

$\text{Ctg}(\theta) = \frac{1}{\tan(\theta)}$

So, to find the solutions to $\text{Ctg}(3x-п) = 0$, we can set the tangent function equal to zero:

$\tan(3x-п) = 0$

Now, we need to find the values of $x$ that make $\tan(3x-п) = 0$. To do this, we can consider the properties of the tangent function. The tangent function is equal to zero at angles where the sine function is zero. Specifically, for $\tan(\theta) = 0$, we have:

$\sin(\theta) = 0$

So, we need to find the values of $x$ that make $\sin(3x-п) = 0$.

The sine function is zero at multiples of $\pi$, so we can write:

$3x-п = n\pi$

where $n$ is an integer. Now, we can solve for $x$:

$3x = п + n\pi$

$x = \frac{п}{3} + \frac{n\pi}{3}$

So, the solutions to the equation $\text{Ctg}(3x-п) = 0$ are given by:

$x = \frac{п}{3} + \frac{n\pi}{3}$

where $n$ is an integer. These are the values of $x$ that make $\text{Ctg}(3x-п) = 0$.