Final Answer
Step-by-step Solution
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Multiply the single term $\sin\left(x\right)$ by each term of the polynomial $\left(\csc\left(x\right)-\sin\left(x\right)\right)$
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$\csc\left(x\right)\sin\left(x\right)-\sin\left(x\right)\sin\left(x\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression sin(x)(csc(x)-sin(x)). Multiply the single term \sin\left(x\right) by each term of the polynomial \left(\csc\left(x\right)-\sin\left(x\right)\right). When multiplying two powers that have the same base (\sin\left(x\right)), you can add the exponents. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right).