To calculate this expression, we need to use the trigonometric identities and values to find the angles that correspond to the given values.
The value of arccos(1/2) is equal to π/3 because the cosine function equals 1/2 when the angle is π/3.
The value of arctg(1) is equal to π/4 because the tangent function equals 1 when the angle is π/4.
The value of arsin(√2/2) is equal to π/4 because the sine function equals √2/2 when the angle is π/4.
Therefore, the expression simplifies to:
2(π/3) + π/4 + π/4= 2π/3 + π/2
Therefore, the final answer is 2π/3 + π/2.
To calculate this expression, we need to use the trigonometric identities and values to find the angles that correspond to the given values.
The value of arccos(1/2) is equal to π/3 because the cosine function equals 1/2 when the angle is π/3.
The value of arctg(1) is equal to π/4 because the tangent function equals 1 when the angle is π/4.
The value of arsin(√2/2) is equal to π/4 because the sine function equals √2/2 when the angle is π/4.
Therefore, the expression simplifies to:
2(π/3) + π/4 + π/4
= 2π/3 + π/2
Therefore, the final answer is 2π/3 + π/2.