Rearranging a general sine function

[maybeican]

Hopefully I posted this in the right section!

If I wanted to rearrange this form:
y=A sin (Bx+C)+D

into... this form:
y=A sin B (x-C)+D

How would I go about doing it?

This the equation that I have:
y=3.123 sin (0.2178x-2.731)+18.43

Thanks!

 

[Deleted member 4993]

Hopefully I posted this in the right section!

If I wanted to rearrange this form:
y=A sin (Bx+C)+D

into... this form:
y=A sin B (x-C)+D

How would I go about doing it?

This the equation that I have:
y=3.123 sin (0.2178x-2.731)+18.43

Thanks!

\(\displaystyle y = 3.123 sin (0.2178x-2.731)+18.43\)

\(\displaystyle y = 3.123 sin [0.2178(\frac{0.2178}{0.2178}x - \frac{2.731}{0.2178})] + 18.43\)

Now continue....