## The General Sine and Cosine Functions

The general sin and cosine functions are
$f(x)=A+Bsin(Cx-D)$
and
$g(x)=A+Bcos(Cx-D)$
.
Thse are transformations of the functions
$f_1(x)=sinx$
and
$g(x)=cos x$
.
There are altogether four transformations for each funcyion - two
$x$
transformations and two
$y$
transformations.
The order of the
$y$
transofmations is important, and so is the order of the
$x$
transfomrations, but either the
$x$
or
$y$
transformations may be performed first.
1. Scaling in the
$y$
direction by a factor
$B$
then translation in the
$y$
by an amount
$A$
.
2. Translation in the
$x$
direction by an amount
$D$
then a scaling in the
$x$
direction by a factor
$C$
.