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If alpha = 3 sin ^(-1) ""((6)/(11) )and...

If ` alpha = 3 sin ^(-1) ""((6)/(11) )and beta =3 cos ^(-1)""((4)/(9))`, where the inverse trigonometric function take only the priencipal values , then the correct option (s) is are -

A

`cos beta gt 0 `

B

`sin beta lt 0`

C

`cos ( alpha + beta ) gt 0`

D

`cos alpha lt 0 `

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