To evaluate this expression, we first need to find the angle values for both arccos functions.
arccos(1/2) = π/3 (60 degrees)arccos(-√2/2) = 3π/4 (135 degrees)
Now we can substitute these values into the expression:
5(π/3) + 3(3π/4)= 5π/3 + 9π/4= (20π + 27π)/12= 47π/12
Therefore, the value of the expression is 47π/12.
To evaluate this expression, we first need to find the angle values for both arccos functions.
arccos(1/2) = π/3 (60 degrees)
arccos(-√2/2) = 3π/4 (135 degrees)
Now we can substitute these values into the expression:
5(π/3) + 3(3π/4)
= 5π/3 + 9π/4
= (20π + 27π)/12
= 47π/12
Therefore, the value of the expression is 47π/12.