正弦二倍角公式: sin2 = 2cossin 推导:sin2 = sin(+) = sincos + cossin= 2sincos 余弦二倍角公式:余弦二倍角公式有三组表示形式,三组形式等价: 1.cos2 = 2cos2 - 1 2.cos2 = 1 2sin2 3.cos2 = cos2 sin2 推导:cos2A = cos(A+A) = cosAcosA - sinAsinA = cos2 A- sin2 A = 2cos2 A - 1=1 - 2sin2 A 正切二倍角公式:tan2 = 2tan/1 - (tan)2 tan(1/2*)=(sin )/(1+cos )=(1-cos )/sin 推导:tan(2a) = tan(a+a) = (tan(a) + tan(a))/ (1 - tan(a)*tan(a) )= 2tan/1 - (tan)2