化简:[tan(45°+A)/(1-tan²(45°+A)]×[sinAcosA÷(1-2sin²A]

问题描述:

化简:[tan(45°+A)/(1-tan²(45°+A)]×[sinAcosA÷(1-2sin²A]

:[tan(45°+A)/(1-tan²(45°+A)]×[sinAcosA÷(1-2sin²A]=1/2*[2tan(45°+A)/(1-tan²(45°+A)]×1/2[2sinAcosA÷(1-2sin²A]=1/2tan(90°+2A)*1/2tan2A=1/4cot2A*tan2A=1/4