求教数学题:α=cos10°、β=cos50° 、γ=cos70° 求α-β-γ

问题描述:

求教数学题:α=cos10°、β=cos50° 、γ=cos70° 求α-β-γ

α-β-γ=cos10°-cos50° -cos70°
=cos10°-cos(60°-10°)-cos(60°+10°)
=cos10°-(cos(60°-10°)+cos(60°+10°))
=cos10°-2cos60°cos10°
=0