Write an equation for a sine curve that has the given amplitude, period, and phase shift.?

Question

3, 6, 4

The amplitude is 3

The period is 6

And the phase shift is 4

I've been stuck on this, can someone help me.

Answer 1

Favorite Answer

Here is how you do it,

y = b sin (k(t - c))

| b | = amplitude

period = 2pi / k

c = phase shift

so we have to compute k.

2pi / k = 6

k = 2pi/6 = pi/3

We can now plug in these values in the equation -

y = 3 sin [ (pi/3)(t - 4) ]

Done!

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