TS EAMCET · Maths · Inverse Trigonometric Functions
For \(0 < x \leq \pi, \sinh ^{-1}(\cot x)\) is equal to
- A \(\log \left(\cot \frac{x}{2}\right)\)
- B \(\log \left(\tan \frac{x}{2}\right)\)
- C \(\log (1+\cot x)\)
- D \(\log (1+\tan x)\)
Answer & Solution
Correct Answer
(A) \(\log \left(\cot \frac{x}{2}\right)\)
Step-by-step Solution
Detailed explanation
We know that \(\sinh ^{-1}(y)=\log \left(y+\sqrt{1+y^2}\right)\) Put \(y=\cot x\)…
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