sin(x-y)=
sinxcosy-cosxsiny
To provide an answer to this question, we need to know whether there are any restrictions or constraints on x and y. Without any further information, we can simplify this expression as follows:
sin(x-y) = sin(x)cos(y) – cos(x)sin(y)
This is the formula for the sine of the difference of two angles. We get this expression by using the trigonometric identities:
sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
and
sin(a – b) = sin(a)cos(b) – cos(a)sin(b)
where we replace a with x and b with y.
Therefore, sin(x-y) can be expressed in terms of sin(x) and sin(y) using the formula above. Note that this does not simplify the expression any further, but gives us a different way to express it.
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