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Combine $\frac{\left(1-\sin\left(x\right)+\cos\left(x\right)\right)^2}{2\left(1+\cos\left(x\right)\right)}+\sin\left(x\right)$ in a single fraction
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$\frac{\left(1-\sin\left(x\right)+\cos\left(x\right)\right)^2+2\sin\left(x\right)\left(1+\cos\left(x\right)\right)}{2\left(1+\cos\left(x\right)\right)}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((1-sin(x)cos(x))^2)/(2(1+cos(x)))+sin(x). Combine \frac{\left(1-\sin\left(x\right)+\cos\left(x\right)\right)^2}{2\left(1+\cos\left(x\right)\right)}+\sin\left(x\right) in a single fraction. Multiply the single term 2 by each term of the polynomial \left(1+\cos\left(x\right)\right). Expand \left(1-\sin\left(x\right)+\cos\left(x\right)\right)^2. Multiply the single term 2 by each term of the polynomial \left(-\sin\left(x\right)+\cos\left(x\right)\right).