Question

Arctg(tg(-pi/4))пожайлусто помагите

Answer 1

Arctg(tg(x))=x
arctg(tg(-п/4))=минус п/4

Answer 2

Arctg(tg(-pi/4))

The expression arctg(tg(-pi/4)) involves the trigonometric functions arctg (also known as arctan) and tg (also known as tan). To find the value of this expression, we need to evaluate the tangent of -pi/4 and then find the arctangent of that value.

Let's break it down step by step:

1. Tangent of -pi/4: The tangent function (tg) is defined as the ratio of the sine to the cosine of an angle. In this case, we need to find the tangent of -pi/4. The tangent of -pi/4 is equal to the tangent of pi/4 because the tangent function has a period of pi. The tangent of pi/4 is equal to 1.

2. Arctangent of 1: The arctangent function (arctg or arctan) is the inverse of the tangent function. It returns the angle whose tangent is a given number. In this case, we need to find the arctangent of 1. The arctangent of 1 is equal to pi/4.

Therefore, arctg(tg(-pi/4)) is equal to pi/4.

Please let me know if you have any further questions!