AP EAMCET · Maths · Inverse Trigonometric Functions
\(\operatorname{sech}^2\left(\tanh ^{-1} \frac{1}{2}\right)+\operatorname{cosech}^2\left(\operatorname{coth}^{-1} 3\right)=\)
- A \(\frac{35}{9}\)
- B \(\frac{3}{2}\)
- C \(\frac{25}{4}\)
- D \(\frac{35}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{35}{4}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \operatorname{sech}^2\left(\tanh ^{-1} \frac{1}{2}\right)+\operatorname{cosech}^2\left(\cot h^{-1}(3)\right) \\ & =\operatorname{sech}^2\left(\operatorname{sech}^{-1}\left(\frac{\sqrt{3}}{2}\right)\right)+\operatorname{cosech}^2\left(\operatorname{cose…
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