文档介绍：n and Alan Weinstein
hmetuFormulas
Area of rectangle '4 = Iw
Area of circle A = ar2
Area of triangle A = ibh
Surface Area of sphere A = 4ar2
Lateral Surface Area of cylinder A = 2vrh
Volume of box V = lwh
Volume of sphere V = 4rr3
Volume of cylinder V = .irr2h
Volume of cone V = f (area of base) x (height)
Trigonometric Identities
Pythagorean
cos28 + sin2@= 1, 1 + tan2@= sec2B, cot2@+ 1 = csc2@
Parity
sin( - 8 ) = - sin 8, cos( - @ ) = cos 8, tan( - 8 ) = - tan 0
CSC(- 8 ) = - csc @,sec( - 8 ) = sec 8, cot( - 8 ) = -cot @
Co-relarrons
, csc B = sec (;- - B
Addition formulas
sin(@+ $) = sin @ cos @ + cos b, sin @
sin(@- @) = sin 8 cos @ - cos 8 sin Q
cos(8 + Q) = cos 8 cos Q - sin 8 sin @
cos(0 - @) = cos 0 cos @ + sin @ sin Q
(tan 0 6 tan +)
tan(@+ Q) =
(I - tangtan+)
(tan 8 - tan $2
tan(8 - Q) =
( 1 + tan 8 tan @)
sin 28 = 2 sin 0 cos @
cos 28 = cos2@- sin2@= 2 cos2@- 1 = I - 2 sin2@
2 tan @
tan 28 =
(I - tan2@)
Nay-angle formulas
2 @ 1 cos0 or cos2@ = 1 + cos 28
cos - - ---------+
2 2 2
8 sin8 - I - COSB
tan - = - ---------- or tan 8 = --1 - cos 28
2 1+cos@ sin@ sin 28
Product formulas
1
sin B sin cp = - (cos(8 - @) - cos(8 + @)I
2
1
cos B cos cp = - [cos(8 + +) + cos(8 - cp)]
2
sin ***@cos+= 1 [sin($ + @) + sin(@- @)I
2
Copyright 1985 Springer-Verlag. All rights reserved.
Derivatives
d cosh - 'u 1 du
31. E--
dx J7-Zdx
32. d tanh - 'u - 1 du
dx 1 - U2 dx
Continued on overleaf.
Copyright 1985 Springer-Verlag. All rights reserved.
Undergraduate Texts in Mathematics
Anglin: Mathematics: A Concise History Devlin: The Joy of Sets: Fundamentals
and Philosophy. of Contemporary Set Theory.
Readings in Mathematics. Second edition.
Anglidambek: The Heritage of Dixmier: General Topology.
Thales. Driver: Why Math?
Readings in Mathematics. Ebbinghaus/Flum/rhomas:
Apostol: Introduction to Analy