Question

Tg(-x)=1

Answer 1

$tg(-x)=1 \\ -x=arctg(1)+ \pi k \\ x= - \pi /4+ \pi k$

Answer 2

To solve the equation Tg(-x) = 1, you'll want to find the values of x that satisfy this equation. "Tg" is typically used to represent the tangent function, often denoted as "tan" or "tg." The tangent function takes an angle as its input and returns the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right triangle.

So, to solve Tg(-x) = 1, you can first determine the angle for which the tangent is equal to 1. In trigonometry, the tangent of 45 degrees or π/4 radians is equal to 1. Therefore, you can write:

Tg(-x) = 1

Now, set -x equal to 45 degrees (π/4 radians) or any multiple of it to find the solutions:

-x = 45° + n * 180°, where n is an integer

For the radians version:

-x = π/4 + n * π, where n is an integer

Now, you can solve for x:

x = -45° - n * 180°, where n is an integer

Or in radians:

x = -π/4 - n * π, where n is an integer

These equations provide the general solutions for x that satisfy Tg(-x) = 1. The "n" in the equations represents any integer, and it can be positive, negative, or zero to generate multiple solutions.