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. ̨ ̇ˇ/sin ̨cosˇ ̇cos ̨sinˇ

cos. ̨ ̇ˇ/cos ̨cosˇsin ̨sinˇ

tan. ̨ ̇ˇ/

tan ̨ ̇tanˇ

1 tan ̨tanˇ

Double-Angle Formulæ

sin2 2 sincos

cos2cos^2 sin^2  1  2 sin^2  2 cos^2  1

tan2

2 tan

1 tan^2 

Half-Angle Formulæ

sin



2

 ̇

r

1 cos

2

cos



2

 ̇

r

1 Ccos

2

tan



2



sin

1 Ccos



1 cos

sin