AP EAMCET · Maths · Properties of Triangles
\(\tanh (\log x)=\)
- A \(\frac{x+1}{x-1}\)
- B \(\frac{x^2+1}{x^2-1}\)
- C \(\frac{x^2-1}{x^2+1}\)
- D \(2 x\)
Answer & Solution
Correct Answer
(C) \(\frac{x^2-1}{x^2+1}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \tanh (\log x) & =\frac{e^{\log x}-e^{-\log x}}{e^{\log x}+e^{-\log x}}=\frac{x-\frac{1}{x}}{x+\frac{1}{x}} \\ & =\frac{x^2-1}{x^2+1}\end{aligned}\)
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