Final Answer
Step-by-step Solution
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Multiply the single term $\sin\left(x\right)+\cos\left(x-1\right)$ by each term of the polynomial $\left(\sin\left(x\right)+\cos\left(x+1\right)\right)$
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$\sin\left(x\right)\left(\sin\left(x\right)+\cos\left(x-1\right)\right)+\cos\left(x+1\right)\left(\sin\left(x\right)+\cos\left(x-1\right)\right)$
Learn how to solve problems step by step online. Expand and simplify the trigonometric expression (sin(x)+cos(x+1))(sin(x)+cos(x-1)). Multiply the single term \sin\left(x\right)+\cos\left(x-1\right) by each term of the polynomial \left(\sin\left(x\right)+\cos\left(x+1\right)\right). Multiply the single term \sin\left(x\right) by each term of the polynomial \left(\sin\left(x\right)+\cos\left(x-1\right)\right). When multiplying two powers that have the same base (\sin\left(x\right)), you can add the exponents. Multiply the single term \cos\left(x+1\right) by each term of the polynomial \left(\sin\left(x\right)+\cos\left(x-1\right)\right).