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Applying an identity of double-angle cosine: $\cos\left(2\theta\right)=1-2\sin\left(\theta\right)^2$
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$\left(1-\cos\left(2x\right)\right)^2\left(2-2\sin\left(x\right)^2\right)$
Learn how to solve factor problems step by step online. Factor the expression (1-cos(2x))^2(1+cos(2x)). Applying an identity of double-angle cosine: \cos\left(2\theta\right)=1-2\sin\left(\theta\right)^2. Factor the polynomial \left(2-2\sin\left(x\right)^2\right) by it's greatest common factor (GCF): 2. Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2.