Formula one
Let α be an arbitrary angle, and the values of the same trigonometric function with the same angle of the terminal edge are equal:
sin(2kπ+α)=sinα(k∈Z)
cos(2kπ+α)=cosα(k∈Z)
tan(2kπ+α)=tanα(k∈Z)
cot(2kπ+α)=cotα(k∈Z)
Formula 2
Let α be an arbitrary angle, and the relationship between the trigonometric function value of π+α and the trigonometric function value of α;
Sine (π+α) =-Sine α
cos(π+α)=-cosα
tan(π+α)=tanα
cot(π+α)=cotα
Formula 3
The relationship between arbitrary angle α and the value of-α trigonometric function;
Sine (-α) =-Sine α
cos(-α)=cosα
tan(-α)=-tanα
Kurt (-α) =-Kurt α
Formula 4
The relationship between π-α and the trigonometric function value of α can be obtained by Formula 2 and Formula 3:
Sine (π-α) = Sine α
cos(π-α)=-cosα
tan(π-α)=-tanα
cot(π-α)=-coα
Formula 5
The relationship between 2π-α and the trigonometric function value of α can be obtained by formula 1 and formula 3:
Sine (2π-α)=- Sine α
cos(2π-α)=cosα
tan(2π-α)=-tanα
Kurt (2π-α)=- Kurt α
Formula 6
The relationship between π/2 α and 3 π/2 α and the trigonometric function value of α;
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
(higher than k∈Z)
Review materials of mathematical function in senior one.
I. Definitions and definitions:
Independent variable x and dependent variable y have the following relationship:
y=kx+b
It is said that y is a linear function of x at this time.
In particular, when b=0, y is a proportional function of x.
Namely: y=kx(k is a constant, k≠0)
Second, the properties of linear function:
The change value of 1.y is directly proportional to the corresponding change value of x, and the ratio is k.
That is: y=kx+b(k is any non-zero real number b, take any real number)
2. When x=0, b is the intercept of the function on the y axis.
Iii. Images and properties of linear functions:
1. Practice and graphics: Through the following three steps.
(1) list;
(2) tracking points;
(3) The connection can be the image of a function-a straight line. So the image of a function only needs to know two points and connect them into a straight line. (Usually find the intersection of the function image with the X and Y axes)
2. Property: (1) Any point P(x, y) on the linear function satisfies the equation: y = kx+b (2) The coordinate of the intersection of the linear function and the y axis is always (0, b), and the image of the proportional function always intersects the origin of the x axis at (-b/k, 0).
3. Quadrant where K, B and function images are located:
When k>0, the straight line must pass through the first and third quadrants, and Y increases with the increase of X;
When k0, the straight line must pass through the first and second quadrants;
When b=0, the straight line passes through the origin.
When b0, the straight line only passes through the first and third quadrants; When k