AP EAMCET · Maths · Trigonometric Ratios & Identities
In \(\triangle \mathrm{ABC},(\cot \mathrm{A}+\cot \mathrm{B})(\cot \mathrm{B}+\cot \mathrm{C})(\cot \mathrm{C}+\cot \mathrm{A})=\)
- A \(\sec A \sec B \sec C\)
- B \(\tan \mathrm{A} \tan \mathrm{B} \tan \mathrm{C}\)
- C \(\operatorname{cosec} A \operatorname{cosec} B \operatorname{cosec} C\)
- D \(\cot A \cot B \cot C\)
Answer & Solution
Correct Answer
(C) \(\operatorname{cosec} A \operatorname{cosec} B \operatorname{cosec} C\)
Step-by-step Solution
Detailed explanation
Since \((\cot \mathrm{A}+\cot \mathrm{B})(\cot \mathrm{B}+\cot \mathrm{C})(\cot \mathrm{C}+\cot \mathrm{A})\)…
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