COMEDK · Maths · 23. Inverse Trigonometric Functions
\(\cot ^{-1}(21)+\cot ^{-1}(13)+\cot ^{-1}(-8)=\)
- A 0
- B \(\cot ^{-1} 26\)
- C \(\pi\)
- D None of these
Answer & Solution
Correct Answer
(C) \(\pi\)
Step-by-step Solution
Detailed explanation
We have, \(\cot ^{-1}(21)+\cot ^{-1}(13)+\cot ^{-1}(-8)\) \(=\tan ^{-1}\left(\frac{1}{21}\right)+\tan ^{-1}\left(\frac{1}{13}\right)+\cot ^{-1}(-8)\) \(=\tan ^{-1}\left(\frac{\frac{1}{21}+\frac{1}{13}}{1-\frac{1}{21} \times \frac{1}{13}}\right)+\cot ^{-1}(-8)\)…
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