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Apply the trigonometric identity: $\sin\left(\theta \right)^2$$=\frac{1-\cos\left(2\theta \right)}{2}$, where $x=2\theta$
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$\frac{1}{8}\left(1-\cos\left(2\cdot 2\theta\right)\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression 1/4sin(2t)^2. Apply the trigonometric identity: \sin\left(\theta \right)^2=\frac{1-\cos\left(2\theta \right)}{2}, where x=2\theta. Multiply 2 times 2. Multiply the single term \frac{1}{8} by each term of the polynomial \left(1-\cos\left(4\theta\right)\right).