If ^ -1 ( x 5 )+ cosec ^ -1 ( 5 4 )= 2 , then the value of x is

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(\sin ^{-1}\left(\frac{x}{5}\right)+\operatorname{cosec}^{-1}\left(\frac{5}{4}\right)=\frac{\pi}{2},\) then the value of x is
  1. 4
  2. 5
  3. 1
  4. 3

Answer

(D) 3

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