Two-angle sum formula
1、sin(A+B)= Sina cosb+cosAsinBsin(A-B)= Sina cosb-sinBcosA
2、cos(A+B)= cosa cosb-Sina sinb cos(A-B)= cosa cosb+Sina sinb
3、tan(A+B)=(tanA+tanB)/( 1-tanA tanB)tan(A-B)=(tanA-tanB)/( 1+tanA tanB)
Double angle formula
1、tan2A = 2 tana/( 1-tan2A)ctg2A =(ctg2A- 1)/2c TGA
2、cos2a = cos2a-sin2a = 2 cos2a- 1 = 1-2 sin2a
Second, the common formula of factorization
1, square difference formula: a? -B? =(a+b)(a-b).
2. Complete square formula: a? +2ab+b? =(a+b)? .
3. Cubes and formulas: A? +b? =(a+b)(a? -ab+b? )。
4. Cubic difference formula: a? -B? =(a-b)(a? +ab+b? )。
5. Complete cubes and formulas: a? +3a? b+3ab? +b? =(a+b)? .
6. Complete cubic difference formula: a? -3a? b+3ab? -B? =(a-b)? .
7. Three complete square formulas: A? +b? +c? +2ab+2bc+2ac=(a+b+c)? .
8. Three cubes and formulas: A? +b? +c? -3abc=(a+b+c)(a? +b? +c? -ab-bc-ac).
Three, the area formula of common graphics
1, rectangular area = length× width S=ab
2. Square area = side length x side length S=a?
3. The area of triangle = base × height ÷2S=ah÷2.
4. parallelogram area = bottom x height S=ah.
5. trapezoidal area = (upper bottom+lower bottom) × height ÷2S=(a+b)h÷2.
6. Area of circle = π× radius× radius