Question

Arccos(-1)+arcsin(√2/2) вычислите

Answer 1

П + arcsin(корень 1)

П + arcsin(1)

п + п\2=3П\2

Answer 2

To compute the value of the expression, let's start by evaluating the individual components:

1. Arccos(-1): The arccosine function returns the angle whose cosine is equal to the given value. Since the cosine of π (180 degrees) is -1, we can write: Arccos(-1) = π

2. Arcsin(√2/2): The arcsine function returns the angle whose sine is equal to the given value. The sine of π/4 (45 degrees) is √2/2, so: Arcsin(√2/2) = π/4

Now, we can find the value of the expression by adding the two results: Arccos(-1) + Arcsin(√2/2) = π + π/4

To add these two values, we need to find a common denominator, which is 4 in this case: π + π/4 = (4π + π) / 4 = (5π) / 4

So, the final value of the expression is 5π/4.