If cos^(-1)⁡α+ cos^(-1)⁡β+cos^(-1)⁡γ=3π, then find the value of α(β+γ)+ β(γ+α)+γ(α+β).

asked by guest
on Sep 23, 2024 at 6:02 pm



You asked:

Given \(\arccos\left( α \right) + \arccos\left( β \right) + \arccos\left( γ \right) = 3 \cdot \pi\) evaluate the expression \(α \cdot \left(β + γ\right) + β \cdot \left(γ + α\right) + γ \cdot \left(α + β\right)\).