For any n in N, the value of the express...

For any `n in N`, the value of the expression `sqrt(2+sqrt(2+sqrt(2+..........n times)))` is

A

`2cos(pi/2^(n+1))`

B

`2sin(pi/2^(n+1))`

C

`sqrt2cos(2^(n+1)pi)`

D

None of these

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