^ -1 ( 2 3 )+ ^ -1 ( 7 6 )+ ^ -1 ( 3 4 ) is equal to :

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

\(\sin ^{-1}\left(\sin \frac{2 \pi}{3}\right)+\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)+\tan ^{-1}\left(\tan \frac{3 \pi}{4}\right)\)
is equal to :
  1. \(\frac{11 \pi}{12}\)
  2. \(\frac{17 \pi}{12}\)
  3. \(\frac{31 \pi}{12}\)
  4. \(-\frac{3 \pi}{4}\)

Answer

(B) 17 12

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