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Since $\sin$ is the reciprocal of $\csc$, $\frac{1}{\sin\left(2x\right)^2\cos\left(2x\right)^4}$ is equivalent to
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$\frac{1\csc\left(2x\right)^2}{\cos\left(2x\right)^4}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression 1/(sin(2x)^2cos(2x)^4). Since \sin is the reciprocal of \csc, \frac{1}{\sin\left(2x\right)^2\cos\left(2x\right)^4} is equivalent to . Any expression multiplied by 1 is equal to itself. Since \cos is the reciprocal of \sec, \frac{\csc\left(2x\right)^2}{\cos\left(2x\right)^4} is equivalent to .