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If tan15^(@)+(1)/(tan75^(@))+(1)/(tan105...

If `tan15^(@)+(1)/(tan75^(@))+(1)/(tan105^(@))+tan195^(@)=2a`,then the value of `(a+(1)/(a))` is :

A

`4`

B

`2`

C

`4-2sqrt(3)`

D

`5-3/2sqrt(3)`

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The correct Answer is:
A
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