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

Simplify $\left(\cos\left(x\right)^2\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $2$

Applicare la formula: $ab$$=ab$, dove $ab=2\cdot 2$, $a=2$ e $b=2$

Applicare la formula: $x\cdot x^n$$=x^{\left(n+1\right)}$, dove $x^nx=\cos\left(x\right)\cos\left(x\right)^{4}$, $x=\cos\left(x\right)$, $x^n=\cos\left(x\right)^{4}$ e $n=4$

Applicare la formula: $a+b$$=a+b$, dove $a=4$, $b=1$ e $a+b=4+1$