三角函数30度45度60度的值（三角函数公式大全）

1,两角和公式sin(A B) = sinAcosB cosAsinB ，我来为大家科普一下关于三角函数30度45度60度的值?以下内容希望对你有帮助!

三角函数30度45度60度的值

1,两角和公式

sin(A B) = sinAcosB cosAsinB

sin(A-B) = sinAcosB-cosAsinB

cos(A B) = cosAcosB-sinAsinB

cos(A-B) = cosAcosB sinAsinB

tan(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)

2,倍角公式

tan2A = 2tanA/(1-tan² A)

Sin2A=2SinA•CosA

Cos2A = Cos^2 A--Sin² A

=2Cos² A—1

=1—2sin^2 A

3,

三倍角公式

sin3A = 3sinA-4(sinA)³;

cos3A = 4(cosA)³ -3cosA

tan3a = tan a • tan(π/3 a)• tan(π/3-a)

4,半角公式

sin(A/2) = √{(1--cosA)/2}

cos(A/2) = √{(1 cosA)/2}

tan(A/2) = √{(1--cosA)/(1 cosA)}

cot(A/2) = √{(1 cosA)/(1-cosA)} ?

tan(A/2) = (1--cosA)/sinA=sinA/(1 cosA)

5,和差化积

sin(a) sin(b) = 2sin[(a b)/2]cos[(a-b)/2]

sin(a)-sin(b) = 2cos[(a b)/2]sin[(a-b)/2]

cos(a) cos(b) = 2cos[(a b)/2]cos[(a-b)/2]

cos(a)-cos(b) = -2sin[(a b)/2]sin[(a-b)/2]

tanA tanB=sin(A B)/cosAcosB

6,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)]

cos(a)sin(b) = 1/2*[sin(a b)-sin(a-b)]

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