If alpha and beta are..... | JEE Advanced 2015 | Mathematics

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JEE Advance 2015

Paper-2 2015

Multiple correct answers - Select all that apply

Question

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)

Select ALL correct options:

A

$\cos \beta>0$

B

$\sin \beta<0$

C

$\cos (\alpha+\beta)>0$

D

$\cos \alpha<0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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