24sinxcosx
24sinxcosx is a mathematical expression that can be simplified using trigonometric identities. The expression involves the product of the sine and cosine of an angle, multiplied by a constant. Specifically, it relates to the double angle formula for sine, which states that sin(2x) = 2sinxcosx.
By applying this identity, we can rewrite 24sinxcosx. First, recognize that sinxcosx is half of sin(2x). So,
This simplified form, 12sin(2x), is often more useful in calculus and other areas of mathematics. For example,