If \( \alpha=3 \sin ^{-1}\left(\frac{6}{11}\right) \) and \( \beta=...
If \( \alpha=3 \sin ^{-1}\left(\frac{6}{11}\right) \) 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
(2015 Adv.)
\( \mathrm{P} \)
(a) \( \cos \beta0 \)
(b) \( \sin \beta0 \)
(c) \( \cos (\alpha+\beta)0 \)
(d) \( \cos \alpha0 \)
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