Engineering Mathematics

Monday, April 4, 2011

Useful Identities

UI.ID.1: exponential ID

$\frac{t}{e^{t}+1}=\frac{t}{e^{t}-1} -\frac{2t}{e^{2t}-1}$

P.S:

$e^{2t}-1=(e^{t}-1)(e^{t}+1)$

UI.ID.2: exponential ID

$(e^{\frac{1}{q}})^{p}= e^{(\frac{1}{q}+\frac{1}{q}+\frac{1}{q}+\cdot \cdot \cdot +\frac{1}{q})}=e^{\frac{p}{q}}$

UI.ID.3: exponential ID

$\frac{e^{t}+1}{e^{t}-1} = 1+ \frac{2}{e^{t}-1}$

Posted by AHM at 12:37 AM

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