Question

Tg(2pi-x)= -корень из 3

Answer 1

2pi-x=-arctg корень3+pi k x=7pi/3 -pi k

Answer 2

To solve the equation Tg(2π - x) = -√3, we can start by applying the inverse tangent function (tan^(-1)) to both sides of the equation:

tan^(-1)(Tg(2π - x)) = tan^(-1)(-√3)

The inverse tangent function cancels out the tangent function, so we're left with:

2π - x = tan^(-1)(-√3)

Next, we need to find the value of tan^(-1)(-√3). Since tan(π/3) = √3, we can say that tan^(-1)(-√3) = -π/3. Substituting this value into our equation:

2π - x = -π/3

We can now solve for x by isolating it on one side of the equation:

x = 2π + π/3 x = (6π + π)/3 x = 7π/3

So, the solution to the equation Tg(2π - x) = -√3 is x = 7π/3.