求值【sin(2π-α)sin(π+α)cos(-π-α)】/【sin(3π-α)-cos(π-α)】

问题描述:

求值【sin(2π-α)sin(π+α)cos(-π-α)】/【sin(3π-α)-cos(π-α)】

sin(2π-α)=-sinα,sin(π+α)=-sinα,cos(-π-α)=-cosα,sin(3π-α)=sinα,cos(π-α)=-cosα
上式=-sinα*sinα*cosα/(sinα+cosα)
就是这样了吧