phy1020.DVI

Appendix C Trigonometry Basic Formulæ sin^2 Ccos^2  1 sec^2  1 Ctan^2  csc^2  1 Ccot^2  Angle Addition Formulæ sin. ̨ ̇ ...

Products of Sines and Cosines sin ̨cosˇ 1 2 Œsin. ̨Cˇ/Csin. ̨ˇ/ cos ̨sinˇ 1 2 Œsin. ̨Cˇ/sin. ̨ˇ/ cos ̨cosˇ 1 2 Œcos. ̨Cˇ ...

Exact values of trigonometric functions at 3 ıintervals. (Ref. [9]) sin cos tan 0 ıD0 0 1 0 3 ıD 60  161 p 6 Cp 2 p 5  1 ...

sec csc cot 0 ıD0 1 1 1 3 ıD 60 ^12 p 10 p 6 q 5 C 2 p 5  2 Cp 3  1 2 p 10 Cp 6  2 Cp 3 C q 5 C 2 p 5  1 4 p 5 Cp 3 ...

Appendix D Useful Series The first four series are valid ifjxj<1; the fifth is valid forx^2 <a^2 ; and the last three are ...

Appendix E Table of Derivatives d dx aD 0 (E.1) d dx xD 1 (E.2) d dx xnDnxn^1 (E.3) d dx p xD 1 2 p x (E.4) d dx sinxDcosx (E.5 ...

d dx exDex (E.12) d dx lnxD 1 x (E.13) d dx axDaxlna (E.14) d dx logaxD 1 xlna (E.15) d dx sinhxDcoshx (E.16) d dx coshxDsinhx ( ...

Appendix F Table of Integrals In the following table, an arbitrary constantCshould be added to each result. Z dxDx (F.1) Z adxDa ...

Z secxdxDlnjsecxCtanxj (F.10) Z cscxdxDlnjcscxcotxj (F.11) Z cotxdxDlnjsinxj (F.12) Z exdxDex (F.13) Z lnxdxDxlnxx (F.14) Z ax ...

Appendix G Mathematical Subtleties When taking the square root of both sides of an equation, a ̇sign must always be introduced. ...

When taking an inverse trigonometric function, there will in general betwocorrect values; your cal- culator will give only one ...

Appendix H SI Units Table H-1. SI base units. Name Symbol Quantity meter m length kilogram kg mass second s time ampere A electr ...

Table H-2. Derived SI units. Name Symbol Definition Base Units Quantity radian rad m / m — plane angle steradian sr m^2 /m^2 — s ...

Table H-3. SI prefixes. Prefix Symbol Definition English yotta- Y 1024 septillion zetta- Z 1021 sextillion exa- E 1018 quintilli ...

Appendix I Gaussian Units Table I-1. Gaussian base units. Name Symbol Quantity centimeter cm length gram g mass second s time ke ...

Table I-2. Derived Gaussian units. Name Symbol Definition Base Units Quantity radian rad m / m — plane angle steradian sr m^2 /m ...

Appendix J Units of Physical Quantities Table J-1. Units of physical quantities. Quantity SI Units Gaussian Units Absorbed dose ...

Table J-1 (cont’d). Units of physical quantities. Quantity SI Units Gaussian Units Energy J erg Enthalpy J erg Entropy J K^1 er ...

Table J-1 (cont’d). Units of physical quantities. Quantity SI Units Gaussian Units Shear modulus N m^2 dyn cm^2 Snap m s^4 cm ...

Appendix K Physical Constants Table K-1. Fundamental physical constants (CODATA 2010). Description Symbol Value Speed of light ( ...