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If exp [(sin^(2)x+sin^(4)x+sin^(6)x+…………...

If exp `[(sin^(2)x+sin^(4)x+sin^(6)x+……………."to"oo)"In"2]` is a root of the equation `y^(2)-9y+8=0` then the value of `(cosx)/(cosx+sinx),0ltxlt(pi)/2` is

A

`sqrt(2)-1`

B

`(sqrt(2)-1)/2`

C

`(sqrt(3)-1)/2`

D

`(sqrt(3),-sqrt(2))/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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