Final answer to the problem
$y=\cos\left(x\right)^2-\sin\left(x\right)^2$
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Apply the formula: $\left(a+b\right)\left(a+c\right)$$=a^2-b^2$, where $a=\cos\left(x\right)$, $b=\sin\left(x\right)$, $c=-\sin\left(x\right)$, $a+c=\sin\left(x\right)+\cos\left(x\right)$ and $a+b=\cos\left(x\right)-\sin\left(x\right)$
$y=\cos\left(x\right)^2-\sin\left(x\right)^2$
Final answer to the problem
$y=\cos\left(x\right)^2-\sin\left(x\right)^2$
