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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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$\frac{1-\cos\left(4x\right)}{2-2\sin\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1-cos(4x))/(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 2-2\sin\left(x\right)^2 by it's greatest common factor (GCF): 2. Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2. Use the trigonometric identity: 1-\cos\left(2x\right)=2\sin\left(x\right)^2.