Advanced mathematical formula
1. Square relation:?
sin^2(α)+cos^2(α)= 1？
tan^2(α)+ 1=sec^2(α)？
cot^2(α)+ 1=csc^2(α)？
2. Relationship between products:?
sinα=tanα*cosα？
cosα=cotα*sinα？
tanα=sinα*secα？
cotα=cosα*cscα？
secα=tanα*cscα？
cscα=secα*cotα？
3. Reciprocal relationship:?
tanα cotα= 1？
sinα cscα= 1？
cosα secα= 1？
4. In the right triangle ABC,?
The sine value of angle A is equal to the ratio of the opposite side of angle A to the hypotenuse.
Is cosine equal to the adjacent side of angle A larger than the hypotenuse?
The tangent is equal to the opposite side of the adjacent side.
5. The trigonometric function of the sum and difference of two angles:?
cos(α+β)=cosα cosβ-sinα sinβ？
cos(α-β)=cosα cosβ+sinα sinβ？
sin(α β)=sinα cosβ cosα sinβ？
tan(α+β)=(tanα+tanβ)/( 1-tanαtanβ)？
tan(α-β)=(tanα-tanβ)/( 1+tanαtanβ)？
6. The trigonometric function of trigonometric sum:?
sin(α+β+γ)= sinαcosβcosγ+cosαsinβcosγ+cosαcosβsinγ-sinαsinβsinγ？
cos(α+β+γ)= cosαcosβcosγ-cosαsinβsinγ-sinαcosβsinγ-sinαsinαsinβcosγ？
tan(α+β+γ)=(tanα+tanβ+tanγ-tanαtanβtanγ)/( 1-tanαtanβ-tanβtanγ-tanγtanα)