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Formulas and Values You Should Know Integration (inside front cover of textbook) #1–4, 6–8, 15–16 Exponents and Logarithms // œ/ œ/ Ð/ Ñ œ/ B C BC BC BC BC / / B C ln ln ln ln ln ln ln ln B ÐBCÑ B Ð Ñ ÐB Ñ œ < B B C < , ln ln "œ! /œ" Trigonometry cos sin cos cos sin sin # # B Bœ" ÐBÑ œ B ÐBÑ œ B cos cos cos sin sin sin sin cos cos sin ÐB CÑ œ B C B C ÐB CÑ œ B C B C cos cos cos sin sin sin sin cos cos sin ÐB CÑ œ B C B C ÐB CÑ œ B C B C cos cos sin sin sin cos Ð#BÑ œ B B Ð#BÑ œ # B B # # cos sin # # " #B " #B # # cos cos tan cot sec csc sin cos cos sin cos sin B B " " B B B B degrees ° ° ° ° ° ° ° radians cosine sine ! $! %& '! *! ")! #(! ! Î' Î% Î$ Î# $ Î# " $Î# #Î# "Î# ! " ! ! "Î# #Î# $Î# " ! " 1 1 1 1 1 1 È È È È Hyperbolic Trigonometry cosh sinh / / / / # # B B B B . . .B .B Ð BÑ œ B Ð BÑ œ B cosh sinh sinh cosh cosh sinh !œ" !œ! cosh sinh # # B Bœ"

Formulas and Values You Should Know - Mathematics

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Lots of useful mathematical formulas given for an Engineering Math class that are useful for any engineering to know

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Page 1: Formulas and Values You Should Know - Mathematics

Formulas and Values You Should Know

Integration (inside front cover of textbook)

#1–4, 6–8, 15–16

Exponents and Logarithms

/ / œ / œ / Ð/ Ñ œ /B C BC BC B C BC//

B

C

ln ln ln ln ln ln ln lnB C œ ÐBCÑ B C œ Ð Ñ ÐB Ñ œ < BBC

<

, ln ln" œ ! / œ "

Trigonometry

cos sin cos cos sin sin# #B B œ " ÐBÑ œ B ÐBÑ œ B

cos cos cos sin sin sin sin cos cos sinÐB CÑ œ B C B C ÐB CÑ œ B C B C

cos cos cos sin sin sin sin cos cos sinÐB CÑ œ B C B C ÐB CÑ œ B C B C

cos cos sin sin sin cosÐ#BÑ œ B B Ð#BÑ œ # B B# #

cos sin# #B œ B œ" #B " #B# #

cos cos

tan cot sec cscB œ B œ B œ B œsin coscos sin cos sin

B B " "B B B B

degrees ° ° ° ° ° ° °

radians

cosine

sine

! $! %& '! *! ")! #(!

! Î' Î% Î$ Î# $ Î#

" $Î# #Î# "Î# ! " !

! "Î# #Î# $Î# " ! "

1 1 1 1 1 1È ÈÈ È

Hyperbolic Trigonometry

cosh sinhB œ B œ/ / / /# #

B B B B

. ..B .BÐ BÑ œ B Ð BÑ œ Bcosh sinh sinh cosh

cosh sinh! œ " ! œ !

cosh sinh# #B B œ "