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Exercise

sin⁡2(2x)(cot⁡(2x)−tan⁡(2x))\sin^2\left(2x\right)\left(\cot\left(2x\right)-\tan\left(2x\right)\right)

Step-by-step Solution

1

Multiply the single term sin⁡(2x)2\sin\left(2x\right)^2 by each term of the polynomial (cot⁡(2x)−tan⁡(2x))\left(\cot\left(2x\right)-\tan\left(2x\right)\right)

cot⁡(2x)sin⁡(2x)2−tan⁡(2x)sin⁡(2x)2\cot\left(2x\right)\sin\left(2x\right)^2-\tan\left(2x\right)\sin\left(2x\right)^2

Final answer to the exercise

cot⁡(2x)sin⁡(2x)2−tan⁡(2x)sin⁡(2x)2\cot\left(2x\right)\sin\left(2x\right)^2-\tan\left(2x\right)\sin\left(2x\right)^2

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sin2(2x)(cot(2x)−tan(2x))
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