arcsin111 = π/2arcsin1/21/21/2 = π/6
Using the angle addition formula for arcsin:arcsinsqrt(−3)/2sqrt(-3)/2sqrt(−3)/2 = arcsin−√3/2-√3/2−√3/2 = -π/3
Therefore, the expression simplifies to:π/2 - π/6 + −π/3-π/3−π/3 = π/3 - π/6 = π/6
arcsin111 = π/2
arcsin1/21/21/2 = π/6
Using the angle addition formula for arcsin:
arcsinsqrt(−3)/2sqrt(-3)/2sqrt(−3)/2 = arcsin−√3/2-√3/2−√3/2 = -π/3
Therefore, the expression simplifies to:
π/2 - π/6 + −π/3-π/3−π/3 = π/3 - π/6 = π/6