Question

2 arcsin 1\2 + 4 arccos V2\2

Answer 1

Ответ:

2 * P/6 + 4*P/4 = p/3+P=4/3 P

Пошаговое объяснение:

Answer 2

Ответ:

4π/3

Пошаговое объяснение:

2 arcsin 1/2 + 4 arccos √2/2 =

= 2 · π/6 + 4 π/4 =

= π/3 + π

= 4π/3

Answer 3

To evaluate the expression, let's simplify each term one by one.

1. 2 arcsin(1/2): The arcsin function returns an angle whose sine is equal to the given value. In this case, arcsin(1/2) is equal to π/6 radians or 30 degrees. Therefore, 2 arcsin(1/2) = 2(π/6) = π/3 radians or 60 degrees.

2. 4 arccos(sqrt(2)/2): The arccos function returns an angle whose cosine is equal to the given value. Here, we have arccos(sqrt(2)/2). The cosine of π/4 radians or 45 degrees is equal to sqrt(2)/2. Therefore, 4 arccos(sqrt(2)/2) = 4(π/4) = π radians or 180 degrees.

Therefore, the expression 2 arcsin(1/2) + 4 arccos(sqrt(2)/2) simplifies to π/3 + π, which can be further simplified to (4π + 3π)/3 = 7π/3 radians or 7π/3 * (180/π) = 420 degrees.