Select and write the correct answer from...

Select and write the correct answer from the given alternatives in each of the following:`sin^4x+cos^4x`=

A

`1+2cos^2x-2cos^4x`

B

`1-2cos^2x-2cos^4x`

C

`1+2cos^2x+2cos^4x`

D

`1-2cos^2x+2cos^4x`

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