The trigonometric function of acute angle defines sine (sin), cosine (cos), tangent (tan), cotangent (cot) and secant (sec) of acute angle A, and cotangent (csc) is called the trigonometric function of acute angle A..
Sine: the opposite side is more inclined than the hypotenuse, that is, Sina = a/c.
Cosine (cos): The adjacent side is more inclined than the hypotenuse, that is, COSA = b/c.
Tangent (tan): the opposite side is greater than the adjacent side, that is, tana = a/b.
Cotangent (cot): adjacent edges compare edges, that is, COTA = B/A.
Sec: the hypotenuse is closer to the adjacent side, that is, seca = c/b.
Cotangent (csc): the comparison between the hypotenuse and the edge, that is, CSCA = C/A.
Hexagonal formula SIN6A = 2 * (COSA * SINA * (2 * SINA+1) * (2 * SINA-1) * (-3+4 * SINA2)) COS6A = (-1+2 * COSA. tan6a=(-6*tana+20*tana^3-6*tana^5)/(- 1+ 15*tana^2- 15*tana^4+tana^6)
Formula 1: Let α be an arbitrary angle, and the values of the same trigonometric functions with the same terminal angles 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
Equation 2: Let α be an arbitrary angle, 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
Equation 3: Relationship between trigonometric function values of arbitrary angles α and-α:
Sine (-α) =-Sine α
cos(-α)=cosα
tan(-α)=-tanα
Kurt (-α) =-Kurt α
Hyperbolic function sha = [e a-e (-a)]/2
e^a+e^(-a)]/2
th a = sin h(a)/cos h(a)
Formula 1:
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
cos(2kπ+α)= cosα
tan(2kπ+α)= tanα
cot(2kπ+α)= cotα
Equation 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
The above is the summary of junior high school math formulas of trigonometric functions that I compiled for you.