If ^ -1 x= 5 , for some x ∈ (–1, 1), then the value of cos –1 x is :

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(\sin ^{-1} x=\frac{\pi}{5}\), for some x ∈ (–1, 1), then the value of
cos–1 x is :
  1. \(\frac{3 \pi}{10}\)
  2. \(\frac{5 \pi}{10}\)
  3. \(\frac{7 \pi}{10}\)
  4. \(\frac{9 \pi}{10}\)

Answer

(A) 3 10

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