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

Apply the trigonometric identity: $1-\sin\left(\theta \right)^2$$=\cos\left(\theta \right)^2$

Apply the trigonometric identity: $\cot(x)=\frac{\cos(x)}{\sin(x)}$

Divide fractions $\frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$

Simplify the fraction $\frac{\cos\left(x\right)^2\sin\left(x\right)^2}{\cos\left(x\right)^2}$ by $\cos\left(x\right)^2$