# Trigonometric TimeSeries

This command is used to construct a TimeSeries object in which the load factor is some trigonemtric function of the time in the domain <math> \lambda = f(t) = \begin{cases} \text{cFactor} * sin (\frac{2.0 \Pi (t-tStart)}{\text{period}} + \text{shift}), &\text{tStart} <= t <= \text{tEnd}\\ \text{0.0}, &\text{otherwise}\\ \end{cases}

</math>

```tcl timeSeries Trig $tag $tStart $tEnd $period <-factor $cFactor> <-shift $shift> ```

tag

unique tag among TimeSeries objects.

tStart

starting time of non-zero load factor

tEnd

ending time of non-zero load factor

period

characteristic period of sine wave

shift

phase shift in radians (optional, default=0.0)

cFactor

the load factor amplification factor (optional, default=1.0)

TrigTimeSeries.gif

Code Developed by: fmk