If =3 ^ -1 ( 6 11 ) and =3 ^ -1 ( 4 9 ) , where the inverse trigonometric functions take…
Mathematics · JEE Advanced · NTA Exams — Trigonometry
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).
- cos
β > 0 - sin
β < 0 - cos(
α + β) > 0 - cos
α < 0
Answer
(C) cos( α + β ) > 0
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