Trigonometry
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Rewrite the following trigonometric expression by factoring it completely:
5cot2x−cotx−205\cot^2x-\cot x-205cot2x−cotx−20
(5cotx+4)(cotx−1)\left(5\cot x+4\right)\left(\cot x-1\right)(5cotx+4)(cotx−1)
(5cotx−4)(cotx+1)\left(5\cot x-4\right)\left(\cot x+1\right)(5cotx−4)(cotx+1)
(5cotx+4)(cotx+1)\left(5\cot x+4\right)\left(\cot x+1\right)(5cotx+4)(cotx+1)
(cotx+4)(4cotx−1)\left(\cot x+4\right)\left(4\cot x-1\right)(cotx+4)(4cotx−1)