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If cos 47^@ + sin 47^@ = k, then what is...

If `cos 47^@ + sin 47^@ = k`, then what is the value of `cos^2 47^@ - sin^2 47^@` ?

A

`ksqrt(2-k^2)`

B

`-ksqrt(2-k^2)`

C

`ksqrt(1-k^2)`

D

`-ksqrt(1-k^2)`

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