Multiply the single term $\sec\left(a\right)\csc\left(a\right)$ by each term of the polynomial $\left(\cos\left(a\right)^2-\sin\left(a\right)^2\right)$
Simplify $\cos\left(a\right)^2\sec\left(a\right)\csc\left(a\right)$
Apply the trigonometric identity: $\sin\left(\theta \right)^n\csc\left(\theta \right)$$=\sin\left(\theta \right)^{\left(n-1\right)}$, where $x=a$ and $n=2$
Simplify $\cos\left(a\right)\csc\left(a\right)$ into $\cot(a)$ by applying trigonometric identities
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