Answer
cos(x)sin(x) is the product of the trigonometric functions cosine and sine evaluated at the same angle x.
Using the trigonometric identity for the product of sines, we can rewrite cos(x)sin(x) as:
cos(x)sin(x) = (1/2)[sin(2x)]
This expression represents half of the sine of the angle 2x, which is a well-known trigonometric identity.
So, cos(x)sin(x) is equivalent to half of the sine of twice the angle x.
