Question:medium

If \( x = \log_e 3 \), then \( \tanh(2x) + \operatorname{sech}(2x) = \)

Show Hint

A useful identity for hyperbolic functions is \( \tanh(x) + \operatorname{sech}(x) = \frac{\sinh x + 1}{\cosh x} \). Also remember the identity \( \cosh^2(x) - \sinh^2(x) = 1 \), which is analogous to the Pythagorean identity in trigonometry.
Updated On: Mar 30, 2026
  • \( \frac{4}{3} \)
  • \( \frac{49}{41} \)
  • \( \frac{4}{5} \)
  • \( \frac{41}{49} \)
Show Solution

The Correct Option is B

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