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Function formula: How to learn Daquan function is the easiest?
What are the formulas of the function? How to learn functions is the easiest. Let me summarize the learning methods and formulas of functions for your reference only.

Formulas of trigonometric functions, senior high school all function formulas.

Two-angle sum formula

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-tanA tanB)

tan(A-B)=(tanA-tanB)/( 1+tanA tanB)

cot(A+B)=(cotA cotB- 1)/(cot B+cotA)

cot(A-B)=(cotA cotB+ 1)/(cot b-cotA)

Double angle formula

2tanA/( 1-tan^2 A)

Sin2A=2SinA? Kosa

Cos2A = Cos^2 A - Sin^2 A

=2Cos^2 A— 1

= 1—2sin^2 A

Triple angle formula

sin3a = 3sina-4(sina)^3;

cos3A = 4(cosA)^3 -3cosA

tan3a = tan a? tan(π/3+a)? tan(π/3-a)

half-angle formula

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)

Sum difference product

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

tanA+tanB=sin(A+B)/cosAcosB

Sum and difference of products

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)]

Inductive formula

sin(-a) = -sin(a)

cos(-a) = cos(a)

sin(π/2-a) = cos(a)

cos(π/2-a) = sin(a)

sin(π/2+a) = cos(a)

cos(π/2+a) = -sin(a)

sin(π-a) = sin(a)

cos(π-a) = -cos(a)

sin(π+a) = -sin(a)

cos(π+a) = -cos(a)

tgA=tanA = sinA/cosA

General formula of trigonometric function

sin(a)=[2tan(a/2)]/{ 1+[tan(a/2)]^2}

cos(a)= { 1-[tan(a/2)]^2}/{ 1+[tan(a/2)]^2}

Tan (1) = [2 tan (a/2)]/{1-[tan (a/2)] 2}

Other formulas

Answer? Sin (a)+b? Cos(a)=[√( a2+B2)]* sin(a+c)[ where tan(c)=b/a]

Answer? Crime (A)-B? Cos(a)=[√( a2+B2)]* cos(a-c)[ where tan(c)=a/b]

1+sin(a)=[sin(a/2)+cos(a/2)]^2;

1-sin(a)=[sin(a/2)-cos(a/2)]^2; ;

Other non-critical trigonometric functions

csc(a) = 1/sin(a)

Seconds (a)= 1/ cosine (a)

Hyperbolic function

sinh(a) = [e^a-e^(-a)]/2

cosh(a) = [e^a+e^(-a)]/2

tg h(a) = sin h(a)/cos h(a)

How to learn functions is the easiest. The function of junior high school will be simpler. Mainly linear function and quadratic function.

The content of linear function is generally simple, and the skill of solving problems is mainly to set the resolution function, and then find out the corresponding conditions according to the setting.

It is suggested to preview in advance, and then remember clearly that y=kx+b(k is not equal to 0) is in k>0, b>0; k & gt0,b & lt0; k & lt0,b & gt0; Images of k<0 and b<0.

Quadratic function will be more difficult. Y = ax 2+bx+c (a is not equal to 0)

It is suggested to start with the image and pay attention to a>0 and A.

According to the needs of the topic, flexibly choose the solutions of vertex Y = A (X-M) 2+N, two points y=a(x-x 1)(x-x2) and general Y = AX 2+BX+C.

Function function, naturally, is the most important image, and the big questions are basically the big synthesis of function+geometry.