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A

`cos beta gt 0`

B

`sin beta lt 0`

C

`cos (alpha + beta) gt 0`

D

`cos alpha lt 0`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
`alpha = 3 sin^(-1).(6)/(11) gt 3 sin^(-1).(6)/(12) = 3 sin^(-1).(1)/(2) = (pi)/(2)`
and `beta = 3 cos^(-1).(4)/(9) gt 3 cos^(-1).(4)/(8) = pi`
So, `alpha gt (pi)/(2) and beta gt pi`
`:. alpha + beta gt (3pi)/(2)`
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