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What are the main points of the college advanced mathematics exam?
The key points of college advanced mathematics examination are to find the limit, derivative, extreme value, maximum value of function, differential function, indefinite integral and definite integral.

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)