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Multiply the single term $1+\sin\left(-x\right)$ by each term of the polynomial $\left(1+\sin\left(x\right)\right)$
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$1+\sin\left(-x\right)+\sin\left(x\right)\left(1+\sin\left(-x\right)\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression (1+sin(x))(1+sin(-x)). Multiply the single term 1+\sin\left(-x\right) by each term of the polynomial \left(1+\sin\left(x\right)\right). Multiply the single term \sin\left(x\right) by each term of the polynomial \left(1+\sin\left(-x\right)\right). Use the odd-even identity \sin(-\theta)=-\sin(\theta). Use the odd-even identity \sin(-\theta)=-\sin(\theta).