Basic Technical Mathematics, 11th Edition

CHAPTER 10 KEY FORMULAS AND EQUATIONS

For the graphs of $\mathit{y}\mathbf{=\hspace{0.17em}}\mathit{a}\mathbf{sin}\mathbf{(\hspace{0.17em}}\mathit{b}\mathit{x}\mathit{+\hspace{0.17em}}\mathit{c}\mathbf{)\hspace{0.17em}}$ and $\mathit{y}\mathbf{=\hspace{0.17em}}\mathit{a}\mathbf{cos}\mathbf{(\hspace{0.17em}}\mathit{b}\mathit{x}\mathit{+\hspace{0.17em}}\mathit{c}\mathbf{)\hspace{0.17em}}$	$\text{Amplitude }\hspace{0.17em}=\hspace{0.17em}|\hspace{0.17em}\text{a}|\hspace{0.17em}\text{Period }\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{2\pi }{b}}\text{Displacement }\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{c}{b}}$ (10.1)
.1-11 Full Alternative Text
Reciprocal relationships	$\csc x\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{1}{\sin x}}\sec x\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{1}{\cos x}}\cot x\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{1}{\tan x}}$ (10.2)
Simple harmonic motion	$d\hspace{0.17em}=\hspace{0.17em}R\sin \omega t$ (10.3)
Angular velocity and frequency	$\omega \hspace{0.17em}=\hspace{0.17em}2\pi f$ (10.4)