Exercise
$cos\left(4x\right)\cdot sin\left(5x\right)$
Step-by-step Solution
Learn how to solve limits to infinity problems step by step online. Simplify the trigonometric expression cos(4x)sin(5x). Apply the trigonometric identity: \sin\left(x\right)\cos\left(y\right)=\frac{\sin\left(x+y\right)+\sin\left(x-y\right)}{2}. Combining like terms 5x and 4x. Combining like terms 5x and -4x. Apply the trigonometric identity: \sin\left(x\right)\cos\left(y\right)=\frac{\sin\left(x+y\right)+\sin\left(x-y\right)}{2}.
Simplify the trigonometric expression cos(4x)sin(5x)
Final answer to the exercise
$\frac{\sin\left(9x\right)+\sin\left(x\right)}{2}$