AP EAMCET · Maths · Inverse Trigonometric Functions
\(\cos h^{-1} 2=\)
- A \(\log (2+\sqrt{3})\)
- B \(\log (2+\sqrt{5})\)
- C \(\log (2-\sqrt{5})\)
- D \(\log (2+\sqrt{2})\)
Answer & Solution
Correct Answer
(A) \(\log (2+\sqrt{3})\)
Step-by-step Solution
Detailed explanation
Since, we know, \(\cosh ^{-1}(x)=\log \left(x+\sqrt{x^2-1}\right)\) \(\Rightarrow \cos h^{-1}(2)=\log \left(2+\sqrt{2^2-1}\right)=\log (2+\sqrt{3})\)
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