This equation is not true. In general, sin(x) + sin(y) is not equal to sin(x) - sin(y).
A correct equation involving sine functions might be:
sin(x) + sin(y) = 2sin((x+y)/2)cos((x-y)/2)
or
sin(x) - sin(y) = 2cos((x+y)/2)sin((x-y)/2)
Both of these equations involve trigonometric identities relating to the sum and difference of angles for sine and cosine functions.
This equation is not true. In general, sin(x) + sin(y) is not equal to sin(x) - sin(y).
A correct equation involving sine functions might be:
sin(x) + sin(y) = 2sin((x+y)/2)cos((x-y)/2)
or
sin(x) - sin(y) = 2cos((x+y)/2)sin((x-y)/2)
Both of these equations involve trigonometric identities relating to the sum and difference of angles for sine and cosine functions.