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Apply the trigonometric identity: $\sin\left(\theta \right)^4-\cos\left(\theta \right)^4$$=1-2\cos\left(\theta \right)^2$
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$1-2\cos\left(x\right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression sin(x)^4-cos(x)^4. Apply the trigonometric identity: \sin\left(\theta \right)^4-\cos\left(\theta \right)^4=1-2\cos\left(\theta \right)^2. Applying the trigonometric identity: 1-2\cos\left(\theta \right)^2 = -\cos\left(2\theta \right). Applying the cosine identity: \displaystyle\cos\left(\theta\right)=\frac{1}{\sec\left(\theta\right)}.