化简:(2)cos(70°+α)sin(170°+α)-sin(70°+α)cos(10°+α)
问题描述:
化简:(2)cos(70°+α)sin(170°+α)-sin(70°+α)cos(10°+α)
答
用a代替
错了,应该是sin(170-a)
原式=cos(70+a)sin[180-(170-a)]-sin(70+a)cos(10+a)
=cos(70+a)sin(10+a)-sin(70+a)cos(10+a)
=sin[(10+a)-(70+a)]
=sin(-60)
=-√3/2