Question

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

Answer 1

The amplitude is 4 and the period is 2

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
  `(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 =
`(2\pi )/(B)`

∴ Period =
`(2\pi )/(\pi )`

∴ Period = 2

∴ The period is 2