AP EAMCET · Maths · Trigonometric Ratios & Identities
\(e^{\log \left(\cos h^{-1} 2\right)}\) is equal to :
- A \(\log (2-\sqrt{3})\)
- B \(\log (\sqrt{3}-2)\)
- C \(\log (2+\sqrt{3})\)
- D \(\log (2+\sqrt{5})\)
Answer & Solution
Correct Answer
(C) \(\log (2+\sqrt{3})\)
Step-by-step Solution
Detailed explanation
\(e^{\log \left(\cosh ^{-1} 2\right)}\) \(=\cosh ^{-1}(2)=\log \left(2+\sqrt{2^2-1}\right)\) \(=\log (2+\sqrt{3})\)
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