Question

Ctg(-x/2)=1/корень из 3

Answer 1

Ответ: решение в файле.

Объяснение:

Answer 2

To solve the equation, we need to find the value of "x" that satisfies the equation:

Ctg(-x/2) = 1/√3

Before proceeding, let's clarify that "Ctg" stands for the cotangent function.

First, we can rewrite the given equation using the identity:

Ctg(-x/2) = 1/Tan(-x/2)

Now, the equation becomes:

1/Tan(-x/2) = 1/√3

To simplify further, let's take the reciprocal of both sides:

Tan(-x/2) = √3

Now, to find the value of "x," we take the arctangent (Tan^(-1)) of both sides:

-x/2 = Tan^(-1)(√3)

Now, let's solve for "x":

x = -2 * Tan^(-1)(√3)

Now, we can calculate the value of "x":

x ≈ -2 * 60° (since Tan^(-1)(√3) ≈ 60°)

x ≈ -120°

So, the value of "x" that satisfies the equation is approximately -120 degrees.