Formula table of trigonometric function?
What is the basic relationship between trigonometric functions and angles?
Reciprocal relation: quotient relation: square relation:?
tanα cotα= 1?
sinα cscα= 1?
cosαsecα= 1 sinα/cosα= tanα= secα/CSCα?
cosα/sinα= cotα= CSCα/secαsin 2α+cos 2α= 1?
1+tan2α=sec2α?
1+cot2α=csc2α?
(Hexagon mnemonic method: the graphic structure is "upper chord cut, Zuo Zheng middle cut,1"; The product of two functions on the diagonal is1; The sum of squares of trigonometric function values of two vertices on the shadow triangle is equal to the square of trigonometric function value of the next vertex; The trigonometric function value of any vertex is equal to the product of the trigonometric function values of two adjacent vertices. " ) ?
Inductive formula (formula: odd variable couple, sign according to quadrant. ) ?
sin(-α)=-sinα?
cos(-α)=cosα tan(-α)=-tanα?
cot(-α)=-cotα?
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(π-α)=sinα?
cos(π-α)=-cosα?
tan(π-α)=-tanα?
cot(π-α)=-cotα?
sin(π+α)=-sinα?
cos(π+α)=-cosα?
tan(π+α)=tanα?
cot(π+α)=cotα?
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?
sin(2π-α)=-sinα?
cos(2π-α)=cosα?
tan(2π-α)=-tanα?
cot(2π-α)=-cotα?