Question

Ctg x-√3=0 Как розв'язати

Answer 1

ctgx=sqrt(3)      ( Здесь sqrt(3) -  корень из 3).

котангенс 30 градусов  равен корню из трёх, также , как и котангенс 210 градусов.

Поэтому ответ:

x=pi/6+pi*n,  где n -любе целое

Answer 2

Solving the Equation ctg(x) - √3 = 0

To solve the equation ctg(x) - √3 = 0, we need to find the values of x that satisfy this equation. Let's break down the steps to solve it:

1. Start with the equation: ctg(x) - √3 = 0.

2. Rewrite the equation using the reciprocal identity of the cotangent function: 1/tan(x) - √3 = 0.

3. Multiply both sides of the equation by tan(x) to eliminate the fraction: 1 - √3 * tan(x) = 0.

4. Rearrange the equation: √3 * tan(x) = 1.

5. Divide both sides of the equation by √3: tan(x) = 1/√3.

6. Take the inverse tangent (arctan) of both sides to find the angle x: x = arctan(1/√3).

7. Use a calculator to find the value of arctan(1/√3). The result is approximately 30 degrees or π/6 radians.

Therefore, the solution to the equation ctg(x) - √3 = 0 is x = 30 degrees or x = π/6 radians.

Please note that the solution may have multiple values due to the periodic nature of the tangent function.