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

If `e^[(sin^(2)x+sin^(4) x +sin^(6)x+.... oo) log_e2]` satisfies the equation `x^(2)-9x+8=0`, then the value of `(cos x )/( cos x+ sin x )`, is

A

`sqrt(3)+1 `

B

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

C

`sqrt(3)-1 `

D

None of these

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
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