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Multiply the single term $\csc\left(x\right)^2+\cot\left(x\right)^2$ by each term of the polynomial $\left(\sec\left(x\right)^2+\tan\left(x\right)^2\right)$
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$\sec\left(x\right)^2\left(\csc\left(x\right)^2+\cot\left(x\right)^2\right)+\tan\left(x\right)^2\left(\csc\left(x\right)^2+\cot\left(x\right)^2\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression (sec(x)^2+tan(x)^2)(csc(x)^2+cot(x)^2). Multiply the single term \csc\left(x\right)^2+\cot\left(x\right)^2 by each term of the polynomial \left(\sec\left(x\right)^2+\tan\left(x\right)^2\right). Multiply the single term \sec\left(x\right)^2 by each term of the polynomial \left(\csc\left(x\right)^2+\cot\left(x\right)^2\right). Multiply the single term \tan\left(x\right)^2 by each term of the polynomial \left(\csc\left(x\right)^2+\cot\left(x\right)^2\right). Applying the trigonometric identity: \tan\left(\theta\right)\cdot\cot\left(\theta\right)=1.