MHB What is the Greek Notation in Tangent Transformations?

AI Thread Summary
The discussion focuses on the Greek notation used in tangent transformations, specifically in the context of periodic functions. The equations presented illustrate how to express a tangent function in terms of amplitude (A), phase shift (PS), and period (T). The transformation parameters are defined, with T being the period calculated as T = φ/ω, and PS representing the phase shift. An example is provided with specific values, demonstrating the application of the notation. The inquiry about the use of Greek notation suggests a need for clarification on its significance in mathematical expressions.
karush
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$\textsf{got ? on the Greek notation. if Period = T}$
\begin{align}
\displaystyle
Y_{tan}&=A\tan\left[\omega\left(x-\frac{\phi}{\omega} \right) \right]+B
\implies A\tan\left(\omega x-\phi \right)+B \\
T&=\left(\frac{\phi}{\omega}\right) \\
PS&=\phi
\end{align}
$\textsf{so on:}$
\begin{align}
\displaystyle
Y_{49}&=1+\frac{1}{2}\tan\left({2x-\frac{\pi}{4}}\right) \\
T&=\frac{\pi}{2} \\
PS&=\frac{\pi}{4}
\end{align} $\textsf{not sure on this one} $
:cool:
 
Last edited:
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What is your question?
 
HallsofIvy said:
What is your question?

why is this in greek?
 
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