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Question: Answered & Verified by Expert
$2 \cot ^2 \theta-\cot \theta-3=$
MathematicsTrigonometric EquationsAP EAMCETAP EAMCET 2022 (07 Jul Shift 2)
Options:
  • A $(2 \cot \theta-3)(\cot \theta+1)$
  • B $(2 \cot \theta-1)(\cot \theta+3)$
  • C $(2 \cot \theta+3)(\cot \theta-1)$
  • D $(2 \cot \theta+1)(\cot \theta-3)$
Solution:
1030 Upvotes Verified Answer
The correct answer is: $(2 \cot \theta-3)(\cot \theta+1)$
$\begin{aligned} & 2 \cot ^2 \theta-\cot \theta-3 \\ & =2 \cot ^2 \theta+2 \cot \theta-3 \cot \theta-3 \\ & =(2 \cot \theta-3)(\cot \theta+1)\end{aligned}$

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