Question

3arctg0 + 4arcctg(– 1)

Answer 1

Ответ: 3*0+4*3*pi/4=0+3*pi=3*pi радиан.

Объяснение:

Answer 2

Let's calculate the given expression step by step:

1. arctg(0): The arctangent (inverse tangent) of 0 is 0, because tan(0) = 0.
2. arcctg(-1): The arccotangent (inverse cotangent) of -1 is π (pi) radians or 180 degrees, because cot(-π/4) = -1.

Now let's substitute these values into the expression:

3arctg(0) + 4arcctg(-1) = 3(0) + 4(π) = 0 + 4π = 4π

So, the value of the expression 3arctg(0) + 4arcctg(-1) is 4π radians or 720 degrees.