To write the expression sin(1x) cos(1y) in terms of x and y only, we need to understand that sin(1x) and cos(1y) refer to the sine and cosine functions of the angles x and y, respectively, when they are scaled by a factor of 1. Thus, we can simplify this representation directly.
In standard sine and cosine terminology, we can interpret this expression as:
- sin(1x) = sin(x)
- cos(1y) = cos(y)
Therefore, the expression sin(1x) cos(1y) can be rewritten as:
sin(x) cos(y)
This new form expresses the product of sine of x and cosine of y without involving any additional components outside of x and y.