化简sin40度(tan10度减根号3)跪求

问题描述:

化简sin40度(tan10度减根号3)跪求

我认为以下俩回答都是正确的!!!


sin40°(tan10°-√3)
=sin40°*2*(1/2*sin10°-√3/2*cos10°)/cos30°
=2sin40°(cos60°sin10°-sin60°cos10°)/cos10°
=2sin40°[sin10°cos60°-cos10°sin60°]/cos10°
=2sin40*sin(-50°)/cos10°
=-2sin40*sin50°/cos10°
=-2sin40°cos40°/cos10°
=-sin80°/cos10°
=-cos10°/cos10°
=-1

sin40°(tan10°-√3)=sin40°(sin10°/cos10°-√3)=sin40°(sin10°-√3cos10°)/cos10°=2sin40°[sin10°cos60°-cos10°sin60°]/cos10°=2sin40*sin(-50°)/cos10°=-2sin40°cos40°/cos10°=-sin80°/cos1...