Question

Arccos(1/2)-arccos(√3/2)

Answer 1

Пошаговое объяснение:

arccos(1/2)-arccos(√3/2) = π/6 - π/3 = -π/6

Answer 2

To simplify the expression Arccos(1/2) - Arccos(√3/2), you can use the properties of trigonometric functions.

First, recall that Arccos(1/2) is equal to π/3 (or 60 degrees) because it represents the angle whose cosine is 1/2. Similarly, Arccos(√3/2) is equal to π/6 (or 30 degrees) because it represents the angle whose cosine is √3/2.

Now, you can simply subtract the two angles:

Arccos(1/2) - Arccos(√3/2) = (π/3) - (π/6)

To subtract these fractions, you need a common denominator, which is 6. So, you can rewrite π/3 as (2π/6):

(2π/6) - (π/6) = (2π - π) / 6 = π/6

So, Arccos(1/2) - Arccos(√3/2) simplifies to π/6.