Expert answers to "How do you write a cosine equation with..."

Filipinacws

Open question

2022-08-19

How do you write a cosine equation with max= 21, min= 15 and period=15?

Adelyn Mercado

Beginner2022-08-20Added 13 answers

The general form of cosine wave with axis parallel to t-axis, axis about which it oscillates x = B, amplitude A, period P and epoch (shift) E is

x - B + A \cos ((\frac{2 π}{P}) t + E)

Here 2A = maximum x - minimum x =21-15=6. So, A=3.
The period

\frac{2 π}{P} = 15

. So,

P = \frac{2 π}{15}

Thus, this coscine oscillation is given by

x = B + 3 \cos (\frac{2 π}{15} t + E)

, where B and E are at your choice.

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