三角函数基本公式 常用的三角函数公式
1.两角和差公式:sin (a b) = sinacosb cosasinb,cos(A+B) = cosAcosB-sinAsinB,cos(A-B) = cosAcosB+sinAsinB,tan (a+b) = (tana+tanb)/(
2.和差积公式:Sina+sinb = 2s in((a+b)/2)cos((a-b)/2),Sina-sinb = 2cos((a+b)/2)sin((a-b)/2),COSA+COSB。
3.乘积的和差公式:Sina sinb =-1/2[cos(a+b)-cos(a-b)],cosa cosb = 1/2[cos(a+b)+cos(a-b)],sinacosb = 1/2 [sin (a+b
4.角度加倍公式:sin2A=2sinAcosA,COS2A = COSA 2-SINA 2 = 1-2 SINA 2 = 2 COSA 2-1,TAN2A = (2TANA)/(1-TANA 2)
5.幂递减公式:sin 2 (α) = (1-cos (2α))/2,2cos 2 (α) = (1+cos (2α))/2,tan 2 (α) = (1-cos (2α))/(1+cos)