The necessary formulas for senior high school mathematics include the analytical formula of three basic functions, the inductive formula of trigonometric functions, the trigonometric identity transformation formula, the derivative formula, the operation of vectors, the product formula of quantities, the integral operation formula, the solid geometric volume formula, the arithmetic difference, the general term formula of geometric series, the first n terms and formulas, etc.

Formula 1: Same angle relation.

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, and the relationship between the trigonometric function value of π+α and the trigonometric function value of α.

sin(kπ+α)=-sinα k∈z

cos(kπ+α)=-cosα k∈z

tan(kπ+α)=tanα k∈z

cot(kπ+α)=cotα k∈z

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

Equation 4:

Sine (π-α) = Sine α

cos(π-α)=-cosα

tan(π-α)=-tanα

cot(π-α)=-coα

Equation 5: Using Equation 1 and Equation 3, the relationship between 2π-α and the trigonometric function value of α can be obtained.

Sine (2π-α)=- Sine α

cos(2π-α)=cosα

tan(2π-α)=-tanα

Kurt (2π-α)=- Kurt α

Equation 6: The relationship between π/2α 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

cos(π/2-α)=sinα

tan(π/2-α)=cotα

cot(π/2-α)=tanα

Six basic functions:

Function name: sine function, cosine function, tangent function, cotangent function, secant function, cotangent function.

Sine function: sinθ=y/r

Cosine function: cosθ=x/r

Tangent function: tanθ=y/x

Cotangent function: cotθ=x/y

Secθ=r/x secθ = r/x

Cotangent function: csθ= r/y