Trigonometry (Applications)

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Story → Sinusoid: Centre, Amp, Period, Start

c=max+min2,a=maxcb=2πperiod\begin{gathered}c = \frac{\max+\min}{2}, \quad a = \max - c\\[3pt] b = \frac{2\pi}{\text{period}}\end{gathered}

Cosine if it starts at the top (−cosine at the bottom); sine if it starts at the centre. Reflex: Centre, amplitude, period, starting position — in that order, every time.

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