Are high school math inducing formulas only trigonometric functions?

Equation: Let be any angle, at the same angle equal to the value of the last side of the same triangle: sin(2k + =sin cos(2k + =cos tawny (2k + =tan crib( 2k + =cot

Equation 2: Let be arbitrarily angled, +Relation trigonometric values between Trigonometric Functions: Sin ( += - sin cos( += - cos Tan( +=tan crib( +=cot

Eq. iii: Trigonometric value of the relationship between - and - at any angle: sin (- = - sin cos(- = cos tan (- = - tan (- = - cot

Equation 4: The relationship can be obtained using the formulas II and iii - between trigonometric values: sin ( -=sin cos( -= - cos yellow-brown ( -= - tan crib ( -= - cot

Eq. v: The trigonometric value between the relationship 2 - and the relationship between i and iii can be obtained: sin (2 - = - sin cos(2 - =cos tan (2 - = - tan crib (2 - = - cot

Formula 6: 2 and 3 between 2 and the value of the relationship trigonometric function :sin( 2 + = cos cos( 2 + = - sin tawny ( 2 + = - cot crib( 2 + = - tan sin cos( 2- ) = sin tawny ( 2- ) = cot cot ( 2- ) = tan sin ( 3 2 + = - cos cos( 3 2 + = sin tan (3 2 + = - cot crib (3 2 + = - cot crib (3 2 + = - Tan sin (3 2-) = - cos cos(3 2-) = - sin tawny (3 2-) = cot crib (3 2-) = tan (above k z).

Freshman in high school. Commonly used induction formulas are in the following groups:

Trigonometric induction formula one:

The trigonometric values of arbitrary angles and - are emercanc.

The relationship between :

sin(-αsinα

cos(-αcosα

tan(-αtanα

cot(-αcotα

Trigonometric induction formula two:

Let be the relationship between the trigonometric value of + and the trigonometric value of

sin(π+sinα

cos(π+cosα

tan(π+tanα

cot(π+cotα

Trigonometric function induction formula three:

Using Equations 2 and 3, we can get the relationship between - and the trigonometric value of

sin(π-sinα

cos(π-cosα

tan(π-tanα

cot(π-cotα

Trigonometric induction equation four:

Let be any angle, and the value of the same trigonometric function for the same angle with the same end edge is equal:

sin(2kπ+αsinα(k∈z)

cos(2kπ+αcosα(k∈z)

tan(2kπ+αtanα(k∈z)

cot(2kπ+αcotα(k∈z)

Trigonometric induction formula five:

Using Equation 1 and Equation 3, we can get the relationship between the trigonometric values of 2 - and

sin(2π-αsinα

cos(2π-αcosα

tan(2π-αtanα

cot(2π-αcotα

Trigonometric induction formula six:

The relationship between 2 and 3 2 and the trigonometric values of

sin(π/2+α)cosα

cos(π/2+α)sinα

tan(π/2+α)cotα

cot(π/2+α)tanα

sin(π/2-α)cosα

cos(π/2-α)sinα

tan(π/2-α)cotα

cot(π/2-α)tanα

sin(3π/2+α)cosα

cos(3π/2+α)sinα

tan(3π/2+α)cotα

cot(3π/2+α)tanα

sin(3π/2-α)cosα

cos(3π/2-α)sinα

tan(3π/2-α)cotα

cot(3π/2-α)tanα

above k z).

The introduction of trigonometric induction formula high school mathematics is as follows:

Equation 1: Let any angle, and the value of the same trigonometric function of the same angle at the end edge is equal:

sin（2kπ＋αsinα （k∈z）

cos（2kπ＋αcosα （k∈z）

tan（2kπ＋αtanα （k∈z）

cot（2kπ＋αcotα （k∈z）

Equation 2: The relationship between the trigonometric value of the + and the trigonometric value of the state of , set to any angle:

sin（π＋sinα

cos（π＋cosα

tan（π＋tanα

cot（π＋cotα

Equation 3: The relationship between the trigonometric value of an arbitrary angle and -

sin（－αsinα

cos（－αcosα

tan（－αtanα

cot（－αcotα

Formula 4: <>

Using Equations 2 and 3, we can get the relationship between - and the trigonometric value of

sin（π－sinα

cos（π－cosα

tan (plexus closure excitation tan

cot（π－cotα

Equation 5: Using Equation 1 and Equation 3, we can get the relationship between the trigonometric values of 2 - and

sin（2π－αsinα

cos（2π－αcosα

tan（2π－αtanα

cot（2π－αcotα

Equation 6: 2 and 3 The relationship between the trigonometric values of 2 and

sin（π/2＋α）cosα

cos（π/2＋α）sinα

tan（π/2＋α）cotα

cot（π/2＋α）tanα

sin（π/2－α）cosα

cos（π/2－α）sinα

tan（π/2－α）cotα

cot（π/2－α）tanα

sin（3π/2＋α）cosα

cos（3π/2＋α）sinα

tan（3π/2＋α）cotα

cot（3π/2＋α）tanα

sin（3π/2－α）cosα

cos（3π/2－α）sinα

tan（3π/2－α）cotα

cot（3π/2－α）tanα

above k z).

Note: When doing the question, it is easier to do it with a as an acute angle.

The high induction formula trigonometric function is as follows:Equation 1: Let any angle, and the value of the same trigonometric function for the same angle with the same terminal edge be equal:

sin（2kπ＋αsinα （k∈z）

cos（2kπ＋αcosα （k∈z）

tan（2kπ＋αtanα （k∈z）

cot（2kπ＋αcotα （k∈z）

Equation 2: Set to any angle, the relationship between the trigonometric value of + and the trigonometric value of

sin ( rent noisy ) sin

cos（π＋cosα

tan（π＋tanα

cot（π＋cotα

Equation 3: The relationship between the trigonometric value of an arbitrary angle and -

sin（－αsinα

cos（－αcosα

tan（－αtanα

cot（－αcotα

Equation 4: Using Equation 2 and Equation 3, we can get the relationship between - and the trigonometric value of

sin（π－sinα

cos（π－cosα

tan（π－tanα

cot（π－cotα

Equation 5: Using Equation 1 and Equation 3, we can get the relationship between the trigonometric values of 2 - and

sin（2π－αsinα

cos（2π－αcosα

tan（2π－αtanα

cot（2π－αcotα

Equation 6: 2 and 3 The relationship between the trigonometric values of 2 and

sin（π/2＋α）cosα

cos（π/2＋α）sinα

tan（π/2＋α）cotα

cot（π/2＋α）tanα

SIN (Zhengzai 2) cos

cos（π/2－α）sinα

tan（π/2－α）cotα

cot（π/2－α）tanα

sin（3π/2＋α）cosα

cos(lift type wang 3 2 ) sin

tan（3π/2＋α）cotα

cot（3π/2＋α）tanα

sin（3π/2－α）cosα

cos（3π/2－α）sinα

tan（3π/2－α）cotα

cot（3π/2－α）tanα

above k z).

Note: When doing the question, it is easier to do it with a as an acute angle.

Equation 1: Let be an arbitrary angle, and the value of the same trigonometric function for the same angle with the same end edge is equal: sin(2k sin cos(2k cos tan(2k tan cot(2k cot

Equation 2: The relationship between the trigonometric value of +, set to any angle, and the trigonometric value of : sin( sin cos( cos tan( tan cot( cot

Equation 3: The relationship between the trigonometric value of the arbitrary angle and -: sin( sin cos( cos tan( tan cot( cot

Equation 4: Using Equations 2 and 3, we can get the relationship between - and the trigonometric values of : sin( sin cos( cos tan( tan cot( cot

Equation 5: Using Equation 1 and Equation 3, we can get the relationship between the trigonometric values of 2 - and : sin(2 sin cos(2 cos tan(2 tan cot(2 cot

Equation 6: The relationship between the trigonometric values of 2 and 3 2 and : sin( 2 )cos cos( 2 )sin tan( 2 )cot cot( 2 )tan sin( 2 )cos cos( 2 )sin tan( 2 )cot cot( 2 )tan sin( 3 2 )cos cos (3 2 )sin tan(3 2 )cot cot(3 2 )tan sin( 3 2 )cos cos( 3 2 )sin tan(3 2) cot cot(3 2)tan (above k z).

The memorization mantra is:

Odd and even unchanged, and the symbol looks at the quadrant.

The symbol on the right side of the equation is the angle k·360°+ kz°360°-

The sign of the original trigonometric value of the quadrant can be remembered.

The name of the horizontal induction remains unchanged; symbol to see the quadrant.

How to judge the symbols of various trigonometric functions in the four quadrants, you can also remember the mantra "one is perfect; two sine; the third is the cut; Four Cosine".

The meaning of this twelve-word mantra is to say:

The four trigonometric values for any angle in the first quadrant are " ".

In the second quadrant, only the sine is " " and the rest are " ".

The third quadrant inscribed function is " " and the chord function is " ".

In the fourth quadrant, only the cosine is " "All the rest are" "The above memorized formula, one perfect sine, two sine sine, three tangent, four cosine inducing formula

Commonly used induction formulas are in the following groups:

Equation 1: Let any angle, and the value of the same trigonometric function for the same angle with the same terminal edge be equal:

sin（2kπ＋αsinα

cos（2kπ＋αcosα

tan（2kπ＋αtanα

cot（2kπ＋αcotα

Equation 2: Set to any angle, the relationship between the trigonometric value of + and the trigonometric value of

sin（π＋sinα

cos（π＋cosα

tan（π＋tanα

cot（π＋cotα

Equation 3: Arbitrary Angle AND.

The relationship between the values of the trigonometric function:

sin（－αsinα

cos（－αcosα

tan（－αtanα

cot（－αcotα

Equation 4: Using Equation 2 and Equation 3, we can get the relationship between - and the trigonometric value of

sin（π－sinα

cos（π－cosα

tan（π－tanα

cot（π－cotα