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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 ` alpha ` is a root (i) and ` beta` is a root of (ii), then ` tan alpha + tan beta ` 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

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The correct Answer is:
A
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