If ^ -1 x= cosec ^ -1 y , then ^ -1 ( 1 x )+ ^ -1 ( 1 y ) is equal to:
Mathematics · JEE Main · NTA Exams — Trigonometry
If \(\sec ^{-1} x=\operatorname{cosec}^{-1} y\), then \(\cos ^{-1}\left(\frac{1}{x}\right)+\cos ^{-1}\left(\frac{1}{y}\right)\) is equal to:
- \(\pi\)
- \(\frac{\pi}{4}\)
- \(-\frac{\pi}{2}\)
- \(\frac{\pi}{2}\)
Answer
(D) 2
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