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Applying the trigonometric identity: $\sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2$
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$\frac{1-\cos\left(x\right)^2}{1+\cos\left(x\right)}=\cos\left(x\right)$
Learn how to solve differential calculus problems step by step online. Prove that (sin(x)^2)/(1+cos(x))=cos(x) is not an identity. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. The difference of the squares of two terms, divided by the sum of the same terms, is equal to the difference of the terms. In other words: \displaystyle\frac{a^2-b^2}{a+b}=a-b.. There is no identity or mathematical rule that allows us to proceed trying to match both sides of the equality, so we conclude that it is not true.