Question

Tg(10x)=20 Решить уравнение

Answer 1

tg10x = - 1

10x = - π/4 + πk, k∈Z

x = - π/40 + πk/10, k ∈Z

Answer 2

To solve the equation Tg(10x) = 20, we need to find the value(s) of x that satisfy the equation. Here, "Tg" represents the tangent function.

First, we need to isolate x to one side of the equation. To do this, we can take the inverse tangent (arctan) of both sides to cancel out the tangent function:

arctan(Tg(10x)) = arctan(20)

Now, the equation becomes:

10x = arctan(20)

Next, we divide both sides by 10 to isolate x:

x = arctan(20) / 10

Now, we can use a calculator to find the approximate value of x:

x ≈ 1.4711276743037347

So, the solution to the equation Tg(10x) = 20 is x ≈ 1.471.