(New page: exp(2jt) => texp(-2jt) exp(-2jt) =>texp(2jt) cos(2t) => t/cos(2t)) |
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exp(2jt) => texp(-2jt) | exp(2jt) => texp(-2jt) | ||
| + | |||
exp(-2jt) =>texp(2jt) | exp(-2jt) =>texp(2jt) | ||
| − | cos(2t) => t | + | |
| + | use Eulers Identity | ||
| + | |||
| + | |||
| + | cos(2t) = .5exp(2t) + .5exp(-2t) => t(.5)exp(-2t) + t(.5)exp(2t) =>t(.5exp(2t) + .5exp(-2t)) => tcos(2t) | ||
Latest revision as of 06:01, 19 September 2008
exp(2jt) => texp(-2jt)
exp(-2jt) =>texp(2jt)
use Eulers Identity
cos(2t) = .5exp(2t) + .5exp(-2t) => t(.5)exp(-2t) + t(.5)exp(2t) =>t(.5exp(2t) + .5exp(-2t)) => tcos(2t)
