To simplify the expression given, we can use the identities:
So, the simplified expression becomes5arcsin(√3/2) + 4arcsin(1/2) - 3arctan(-1/√3= 5(π/3) + 4(π/6) - 3(-π/6= 5π/3 + 2π/3 + π/= 7π/3 + π/2
Hence, the simplified expression is 7π/3 + π/2.
To simplify the expression given, we can use the identities:
arcsin(1/2) = π/6arctan(-1/√3) = -π/6So, the simplified expression becomes
5arcsin(√3/2) + 4arcsin(1/2) - 3arctan(-1/√3
= 5(π/3) + 4(π/6) - 3(-π/6
= 5π/3 + 2π/3 + π/
= 7π/3 + π/2
Hence, the simplified expression is 7π/3 + π/2.