AP EAMCET · Maths · Inverse Trigonometric Functions
\(\operatorname{Tanh}^{-1}\left(\frac{1}{3}\right)+\operatorname{Coth}^{-1}(3)=\)
- A \(\operatorname{Sech}^{-1}\left(\frac{1}{3}\right)\)
- B \(\operatorname{Cosech}^{-1}\left(\frac{1}{3}\right)\)
- C \(\operatorname{Cosh}^{-1}\left(\frac{4}{3}\right)\)
- D \(\operatorname{Sinh}^{-1}\left(\frac{3}{4}\right)\)
Answer & Solution
Correct Answer
(D) \(\operatorname{Sinh}^{-1}\left(\frac{3}{4}\right)\)
Step-by-step Solution
Detailed explanation
\(\operatorname{Coth}^{-1}(3) = \operatorname{Tanh}^{-1}\left(\frac{1}{3}\right)\) \(\operatorname{Tanh}^{-1}\left(\frac{1}{3}\right)+\operatorname{Tanh}^{-1}\left(\frac{1}{3}\right) = 2\operatorname{Tanh}^{-1}\left(\frac{1}{3}\right)\)…
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