TS EAMCET · Maths · Inverse Trigonometric Functions
\(\operatorname{coth}^{-1} 3+\tanh ^{-1} \frac{1}{3}-\operatorname{cosech}^{-1}(-\sqrt{3})=\)
- A \(\log _e\left(\frac{2}{\sqrt{3}}\right)\)
- B \(\log _e 2 \sqrt{3}\)
- C 0
- D \(\log _8 3 \sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(\log _e 2 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
We know that, \(\operatorname{coth}^{-1} x=\frac{1}{2} \log _e\left(\frac{x+1}{x-1}\right),|x|>1\)…
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