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What is the focus of liberal arts function in senior three? How to learn mathematics in senior three?
The operations of derivative function, quadratic function, inverse function, trigonometric function, exponential function and logarithmic function are emphasized, and of course, the definition domain and value domain of the function are also emphasized. Well, there are some formulas. mathematical formula

Parabola: y

=

cut down on

*+

Bronx (Bronx)

+

c

Y equals ax

Square plus sign

Bx plus

c

a

& gt

When it is 0, the opening is upward.

a

& lt

When it is 0, the opening is downward.

c

=

When the value is 0, the parabola passes through the origin.

b

=

0, the parabolic axis of symmetry is the y axis.

And vertex Y.

=

a(x+h)*

+

k

That is, y equals a times the square of (x+h)+K.

-h is x of vertex coordinates.

K is y of vertex coordinates.

Generally used to find the maximum and minimum.

Parabolic standard equation: y 2 = 2px

It means that the focus of the parabola is on the positive semi-axis of X, and the focal coordinate is (p/2,0).

The alignment equation is x=-p/2.

Since the focus of a parabola can be on any semi-axis, * * has a standard equation y 2 = 2px.

y^2=-2px

x^2=2py

x^2=-2py

Trigonometric function:

Two-angle sum formula

sin(A+B)=sinAcosB+cosAsinB

sin(A-B)=sinAcosB-sinBcosA

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

tan2A=2tanA/( 1-tan2A)

cot2A=(cot2A- 1)/2cota

cos2a = cos2a-sin2a = 2 cos2a- 1 = 1-2 sin2a

sinα+sin(α+2π/n)+sin(α+2π* 2/n)+sin(α+2π* 3/n)+……+sin[α+2π*(n- 1)/n]= 0

cosα+cos(α+2π/n)+cos(α+2π* 2/n)+cos(α+2π* 3/n)+……+cos[α+2π*(n- 1)/n]= 0

and

sin^2(α)+sin^2(α-2π/3)+sin^2(α+2π/3)=3/2

tanAtanBtan(A+B)+tanA+tan B- tan(A+B)= 0

General formula:

sinα=2tan(α/2)/[ 1+tan^2(α/2)]

cosα=[ 1-tan^2(α/2)]/[ 1+tan^2(α/2)]

tanα=2tan(α/2)/[ 1-tan^2(α/2)]

half-angle formula

sin(A/2)=√(( 1-cosA)/2)

sin(A/2)=-√(( 1-cosA)/2)

cos(A/2)=√(( 1+cosA)/2)

cos(A/2)=-√(( 1+cosA)/2)

tan(A/2)=√(( 1-cosA)/(( 1+cosA))

tan(A/2)=-√(( 1-cosA)/(( 1+cosA))

cot(A/2)=√(( 1+cosA)/(( 1-cosA))

cot(A/2)=-√(( 1+cosA)/(( 1-cosA))

Sum difference product

2sinAcosB=sin(A+B)+sin(A-B)

2cosAsinB=sin(A+B)-sin(A-B)

2cosAcosB=cos(A+B)-sin(A-B)

-2sinAsinB=cos(A+B)-cos(A-B)

sinA+sinB = 2 sin((A+B)/2)cos((A-B)/2

cosA+cosB = 2cos((A+B)/2)sin((A-B)/2)

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

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

cotA+cotBsin(A+B)/sinAsinB

-cotA+cotBsin(A+B)/sinAsinB