To simplify the expression given, we can use the identities:
So, 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/2= 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/2
= 7π/3 + π/2
Hence, the simplified expression is 7π/3 + π/2.