If cos x+ cos ^(2) x=1,. then the value...

If `cos x+ cos ^(2) x=1,. ` then the value of ` sin ^(2) x+ sin ^(4) x `is

A

`2- sqrt5`

B

`sqrt5-2`

C

`sqrt5+2`

D

`9-4 sqrt5`

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The correct Answer is:

B

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