arcsin(1) = π/2arcsin(1/2) = π/6
Using the angle addition formula for arcsin:arcsin(sqrt(-3)/2) = arcsin(-√3/2) = -π/3
Therefore, the expression simplifies to:π/2 - π/6 + (-π/3) = π/3 - π/6 = π/6
arcsin(1) = π/2
arcsin(1/2) = π/6
Using the angle addition formula for arcsin:
arcsin(sqrt(-3)/2) = arcsin(-√3/2) = -π/3
Therefore, the expression simplifies to:
π/2 - π/6 + (-π/3) = π/3 - π/6 = π/6