Question

Arcsin0,5+arccos подкорнем 3/2

Answer 1

Arcsin1/2=п/5
Arccos(3/2)^(1/2)=п/3
п/5+п/3=(3п+5п)/15=8п/15

Answer 2

To evaluate the expression, we'll start by finding the values of the individual trigonometric functions and then perform the arithmetic.

1. Calculate arcsin(0.5): arcsin(0.5) is the angle whose sine is 0.5. It's commonly known that arcsin(0.5) = π/6 radians or 30 degrees.

2. Calculate arccos(√3/2): arccos(√3/2) is the angle whose cosine is √3/2. This is commonly known as π/6 radians or 30 degrees.

Now, the expression becomes:

arcsin(0.5) + arccos(√3/2) = π/6 + π/6

To combine these two angles, we add them together:

π/6 + π/6 = 2π/6

Simplify the fraction:

2π/6 = π/3

So, the final result is:

arcsin(0.5) + arccos(√3/2) = π/3

In radians, this is approximately 1.0472 radians, and in degrees, it is approximately 60 degrees.