MHB What is the Greek Notation in Tangent Transformations?

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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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