If =3 sin^-1 ( 611 ) and =3 cos^-1 ( 49 ), where the inverse trigonometric functions take only the principal values, then the correct option(s) is (are) (JEE Advanced 2015)

Question

Accepted Answer

Correct answer: B, C, D. (b, c, d) =3 sin^-1 611>3 sin^-1 12 ⇒ > 2 ( ∵3 sin^-1 ( 12 )= 2) ∴ cosα<0 =3 cos^-1 49>3 cos^-1 12 ⇒ > ( ∵3 cos^-1 ( 12 )= ) cosβ<0 and sinβ<0 Now, + > 3 2 ∴ cos ( + )>0

$If α = 3 sin^{- 1} (\frac{6}{11}) and β = 3 cos^{- 1} (\frac{4}{9}), where the inverse trigonometric functions take only the principal values, then the correct option(s) is (are) (JEE Advanced 2015)$

Solution

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