AP EAMCET · Maths · Inverse Trigonometric Functions
If \(\theta=\sec ^{-1}(\cos h u)\). then \(u=\)
- A \(\log _e\left(\cot \left(\frac{\theta}{2}-\frac{\pi}{4}\right)\right)\)
- B \(\log _e\left(\tan \left(\frac{\theta}{2}-\frac{\pi}{4}\right)\right)\)
- C \(\log _e\left(\tan \left(\frac{\pi}{4}-\frac{\theta}{2}\right)\right)\)
- D \(\log _e\left(\tan \left(\frac{\pi}{4}+\frac{\theta}{2}\right)\right)\)
Answer & Solution
Correct Answer
(D) \(\log _e\left(\tan \left(\frac{\pi}{4}+\frac{\theta}{2}\right)\right)\)
Step-by-step Solution
Detailed explanation
\(\because \theta=\sec ^{-1}(\cos h u) \Rightarrow \sec \theta=\cos h u\)…
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