If =3 ^ -1 ( 6 11 ) and =3 ^ -1 ( 4 9 ) , where the inverse trigonometric functions take…

Mathematics · JEE Advanced · NTA ExamsTrigonometry

If \(\alpha=3 \sin ^{-1}\left(\frac{6}{11}\right) \text { and } \beta=3 \cos ^{-1}\left(\frac{4}{9}\right)\), where the inverse trigonometric functions take only the principal values, then the correct option(s) is(are).
  1. cos β > 0
  2. sin β < 0
  3. cos(α + β) > 0
  4. cos α < 0

Answer

(C) cos( α + β ) > 0

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