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Consider the equation 5 sin^2 x + 3 sin ...

Consider the equation `5 sin^2 x + 3 sin x cos x - 3 cos^2 x =2 `.......... (i)
`sin^2 x - cos 2 x =2-sin 2 x `........... (ii)
If ` tan alpha , tan beta ` satisfy (i) and ` cos gamma , cos delta ` satisfy (ii) , then ` tan alpha * tan beta + cos gamma + cos delta ` can be equal to

A

`(1+sqrt(69)//6`

B

`-1-sqrt(69)//6`

C

`(-3 +sqrt(69))/(6)`

D

`(3-sqrt(69))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
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