已知π/4
1个回答

根据那个“诱导公式”(好像是这个名字)

cos(α+β)=-cos[π-(α+β)]=cos[(3π/4-β)+(π/4-α)]=

cos(3π/4-β)cos(π/4-α)-sin(3π/4-β)sin(π/4-α)

根据已知条件,可得cos(3π/4-β)=-12/13,sin(π/4-α)=-4/5

然后都带进去就行了