Sine theorem: a/sinA=b/sinB=c/sinC

Cosine theorem: A 2 = B 2+C 2-2bc * COSA

b^2=a^2+c^2-2ac*cosB

c^2=a^2+b^2-2ab*cosC

Expand (find triangle area):

S = 1/2bc * Sina

= 1/2ac*sinB

= 1/2ab*sinC

Arithmetic series:

an=a 1+(n- 1)d

Sn=n(a 1+an)/2

=na 1+n(n- 1)d/2

Geometric series:

an=a 1*q^n- 1

sn=a 1( 1-q^n)/ 1-q

=a 1-anq/ 1-q

Inequality:

Just look at some properties of this book. The People's Education Edition is on pages 73-74.

I hope I can help you.