Question

Arccos⁡(-1)-arcsin⁡(-1)

Answer 1

Ответ: 3пи/2

Пошаговое объяснение:

Answer 2

Let's calculate the values of the inverse trigonometric functions at their respective inputs:

1. arccos(-1): The arccosine (inverse cosine) of -1 is equal to π (pi) radians or 180 degrees. This is because the cosine function has a value of -1 at π radians (180 degrees).

2. arcsin(-1): The arcsine (inverse sine) of -1 is also equal to -π/2 radians or -90 degrees. This is because the sine function has a value of -1 at -π/2 radians (-90 degrees).

Now, let's substitute these values into the given expression:

arccos(-1) - arcsin(-1) = π - (-π/2) = π + π/2 = (2π + π) / 2 = 3π / 2

So, arccos(-1) - arcsin(-1) is equal to 3π/2 radians.