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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+.... oo)" In" 2]` satisfies the equation `y^(2)-9y+8=0`, then the value of `(cos x )/( cos x+ sin x ),0 lt x lt (pi)/(2)` , is

A

`sqrt(3)+1 `

B

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

C

`sqrt(3)-1 `

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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