Final Answer
Step-by-step Solution
Specify the solving method
Applying the trigonometric identity: $\sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{1}{4}\left(1-\cos\left(2\theta\right)^2\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression 1/4sin(2t)^2. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Multiply the single term \frac{1}{4} by each term of the polynomial \left(1-\cos\left(2\theta\right)^2\right). Apply the trigonometric identity: \cos\left(2\theta \right)=\frac{2\tan\left(\theta \right)}{1+\tan\left(\theta \right)^2}, where x=\theta. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.