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4 years ago

Find the amplitude and period of the graph y=4 sin πθ

Mathematics

1 answer:

Vsevolod [243]4 years ago

7 0

Answer:

The amplitude is 4 and the period is 2

Step-by-step explanation:

In the equation y = A sin (B x)

A is the amplitude, where the amplitude is the height from highest to lowest points and divide the answer by 2
The period is $\frac{2\pi }{B}$ , where the period is the distance from one peak to the next peak

∵ The equation is y = 4 sin(πФ)

- Compare it with form above

∴ A = 4 and B = π

∵ A is the amplitude

∴ The amplitude is 4

∵ Period = $\frac{2\pi }{B}$

∴ Period = $\frac{2\pi }{\pi }$

∴ Period = 2

∴ The period is 2

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jek_recluse [69]

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