高中全部函数公式大全

1、高中全部函数公式大全三角函数公式两角和公式sin(A+B) = sinAcosB+cosAsinBsin(A-B) = sinAcosB-cosAsinB ?cos(A+B) = cosAcosB-sinAsinBcos(A-B) = cosAcosB+sinAsinBtan(A+B) = (tanA+tanB)/(1-tanAtanB)tan(A-B) = (tanA-tanB)/(1+tanAtanB)cot(A+B) = (cotAcotB-1)/(cotB+cotA) ?cot(A-B) = (cotAcotB+1)/(cotB-cotA)倍角公式tan2A = 2tanA/(1-ta

2、nA2 A)Sin2A=2SinA?CosACos2A = CosA2 A-SinA2 A=2CosA2 A 1=1 2sinA2 A三倍角公式sin3A = 3sinA-4(sinA)A3;cos3A = 4(cosA)A3 -3cosAtan3a = tan a ? tan( 兀 /3+a)? tan(兀 /3 -a)半角公式sin(A/2) =V(1 -cosA)/2cos(A=V(1+cosA)/2tan(A/2) =V(1 -cosA)/(1+cosA)cot2) ="(1+cosA)/。-cosA) ?tan(A/2) = (1-cosA)/sinA=sinA/(1+co

3、sA)和差化积sin(a)+sin(b) = 2sin(a+b)/2cos(a-b)/2sin(a)-sin(b) = 2cos(a+b)/2sin(a-b)/2cos(a)+cos(b) = 2cos(a+b)/2cos(a-b)/2 cos(a)-cos(b) = -2sin(a+b)/2sin(a-b)/2 tanA+tanB=sin(A+B)/cosAcosB 积化和差sin(a)sin(b) = -1/2*cos(a+b)-cos(a-b)cos(a)cos(b) = 1/2*cos(a+b)+cos(a-b)sin(a)cos(b) = 1/2*sin(a+b)+sin(a-b)c

4、os(a)sin(b) = 1/2*sin(a+b)-sin(a-b)诱导公式sin(-a) = -sin(a)cos(-a) = cos(a)sin(兀 /2 -a) = cos(a)cos(兀 /2 -a) = sin(a)sin(兀 /2+a) = cos(a)cos(兀 /2+a) = -sin(a) sin(兀-a) = sin(a)cos(兀-a) = -cos(a)sin(兀 +a) = -sin(a)cos(兀 +a) = -cos(a)tgA=tanA = sinA/cosA万能公式sin(a) = 2tan(a/2) / 1+tan(a/2)八2cos(a) = 1-tan(a/2)八2 / 1+tan(a/2)八2tan(a) = 2tan(a/2)/1-tan(a/2)A2其它公式a?sin(a)+b?cos(a) = V(aA2+bA2)*sin(a+c)其中，tan(c)=b/aa?sin(a) -b?cos(a) = V(aA2+bA2)*cos(a -c)其中，tan(c)=a/b 1+sin(a) = sin(a/2)+cos(a/2)A2;1-sin(a) = sin(a/2)-cos(a/2)A2;其他非重点三角函数csc(a) = 1/sin(a)sec(a) = 1/cos(