Final answer to the problem
$\frac{\sin\left(2x\right)\csc\left(x\right)^2}{2}$
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Step-by-step Solution
Learn how to solve factorization problems step by step online. Simplify the trigonometric expression (-sin(-x)cos(-x)sec(x)csc(x))/tan(x). Apply the trigonometric identity: \frac{\sec\left(\theta \right)}{\tan\left(\theta \right)}=\csc\left(\theta \right). When multiplying two powers that have the same base (\csc\left(x\right)), you can add the exponents. Simplify -\sin\left(-x\right)\cos\left(-x\right)\csc\left(x\right)^2 using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). Multiply 2 times -1.
Final answer to the problem
$\frac{\sin\left(2x\right)\csc\left(x\right)^2}{2}$
