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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`

B

`-(5)/(3)+(2)/(sqrt(13))`

C

`(5)/(3)-(2)/(sqrt(13)) `

D

`(5)/(3)+(2)/(sqrt(13))`

Text Solution

Verified by Experts

The correct Answer is:
B
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