求证:(sin(kπ-α)cos(kπ+α))/(sin((k+1)π+α)cos((k+1)π+α))=-1,k∈Z

问题描述:

求证:(sin(kπ-α)cos(kπ+α))/(sin((k+1)π+α)cos((k+1)π+α))=-1,k∈Z

证明:
左边=sina*(-cosa)/[-sina*(-cosa)]=-1=右边.
得证.