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If tanalpha=(sqrt(3)+1)/(sqrt(3)-1), the...

If `tanalpha=(sqrt(3)+1)/(sqrt(3)-1)`, then the expression `cos 2alpha +(2+sqrt(3))sin 2alpha` is

A

`2+sqrt(3)`

B

`-1`

C

1

D

`-(2+sqrt(3))`

Text Solution

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The correct Answer is:
C
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