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Exercise

$\cot^2\left(x\right)x\:csc\left(x\right)$

Step-by-step Solution

1

Applying the trigonometric identity: $\cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1$

$x\left(\csc\left(x\right)^2-1\right)\csc\left(x\right)$

Final answer to the exercise

$x\left(\csc\left(x\right)^2-1\right)\csc\left(x\right)$

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