sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)cos(π+α)cos2(π+α)化简 求助各位大神!
问题描述:
sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)cos(π+α)cos2(π+α)化简 求助各位大神!
答
原式=-sin2a+tanacos2a-sinacosacos2a=-2sinacosa+(sina/cosa)*(2cos²a-1)-(2sinacosacos2a)/2=-2sinacosa+(2sinacosa-sina/cosa)-(sin2acos2a)/2=-sina/cosa-(2sin2acos2a)/4=-tana-(sin4a)/4