What is sin2x cos2x?

The expression sin2x cos2x represents the product of the trigonometric functions sine and cosine of twice the angle x. Using trigonometric identities, we can simplify this expression:

sin2x cos2x = (sinx cosx)² = 1/4 sin²2x

This shows that the product of sin2x cos2x is equal to one-quarter of the square of the sine of twice the angle x. This expression is commonly used in calculus and trigonometry to evaluate integrals, derivatives, and other mathematical functions. It also has applications in physics and engineering, where trigonometric functions are often used to model and analyze periodic phenomena.