AP EAMCET · Maths · Trigonometric Equations
\(2 \cot ^2 \theta-\cot \theta-3=\)
- 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 \((2 \cot \theta+1)(\cot \theta-3)\)
Answer & Solution
Correct Answer
(A) \((2 \cot \theta-3)(\cot \theta+1)\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & 2 \cot ^2 \theta-\cot \theta-3 \\ & =2 \cot ^2 \theta+2 \cot \theta-3 \cot \theta-3 \\ & =(2 \cot \theta-3)(\cot \theta+1)\end{aligned}\)
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