a^3+3a^2

b+3ab^2+b^3

a^4+4a^3

b+6a^2

b^2+4ab^3+b^4

(a+b)(a^2-ab+b^2)

(A 2- radical number 2

A b+ B2)(a2+ radical number 2

ab+b^2)

(a-b)(a+b)(a^2+b^2)

1. inductive formula

sin(-a)=-sin(a)

cos(-a)=cos(a)

sin(π2-a)=cos(a)

cos(π2-a)=sin(a)

sin(π2+a)=cos(a)

cos(π2+a)=-sin(a)

sin(π-a)=sin(a)

cos(π-a)=-cos(a)

sin(π+a)=-sin(a)

cos(π+a)=-cos(a)

2. The trigonometric function of the sum and difference of two angles

sin(a+b)= sin(a)cos(b)+cos(α)sin(b)

cos(a+b)= cos(a)cos(b)-sin(a)sin(b)

sin(a-b)= sin(a)cos(b)-cos(a)sin(b)

cos(a-b)= cos(a)cos(b)+sin(a)sin(b)

tan(a+b)= tan(a)+tan(b) 1-tan(a)tan(b)

tan(a-b)= tan(a)-tan(b) 1+tan(a)tan(b)

3. Sum-difference product formula

sin(a)+sin(b)= 2s in(a+B2)cos(a-B2)

Crime (1)? sin(b)=2cos(a+b2)

cos(a)+cos(b)= 2cos(a+B2)cos(a-B2)

cos(a)-cos(b)=-2s in(a+B2)sin(a-B2)

4. Double angle formula

sin(2a)=2sin(a)cos(b)

cos(2a)= cos 2(a)-sin 2(a)= 2cos 2(a)- 1 = 1-2 sin 2(a)

5. Half-angle formula

sin2(a2)= 1-cos(a)2

cos2(a2)= 1+cos(a)2

tan(a2)= 1-cos(a)sin(a)= Sina 1+cos(a)

6. General formula

sin(a)=2tan(a2) 1+tan2(a2)

cos(a)= 1-tan 2(a2) 1+tan 2(a2)

tan(a)=2tan(a2) 1-tan2(a2)

7. Other formulas (derived)

)

Answer? Sin (a)+b? cos(a)=a2+b2sin(a+c)

In ...

tan(c)=ba

Answer? Sin (a)+b? cos(a)=a2+b2cos(a-c)

In ...

tan(c)=ab

1+sin(a)=(sin(a2)+cos(a2))2

1-sin(a)=(sin(a2)-cos(a2))2