Final answer to the problem
$\sin\left(x\right)^2$
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Step-by-step Solution
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1
The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.
$1-\cos\left(x\right)^2$
2
Applying the trigonometric identity: $1-\cos\left(\theta \right)^2 = \sin\left(\theta \right)^2$
$\sin\left(x\right)^2$
Why is 1 - cos(x)^2 = sin(x)^2 ?
Final answer to the problem
$\sin\left(x\right)^2$