whether mirrorred set of negative freq is same as conjugate symmetry in case of sine wave

Hi every one,
 
Actually , I studied ....
real DFT “assumes” a mirrored set of negative
frequencies due to the fact that the real DFT only ever transforms
real time domain signals and never complex ones (thus producing
mirrored negative frequencies).

then only doubt came into my mind is "whether mirrored negative freq
(spectrum)is exactly same as original spectrum."

 
 
 if we take sine wave as an example when we take Fourier series, its Fourier series
coefficents we get the conjugate symmetric (for negative coefficients)i.e,
                                                A       =  A *
                                                  -k            k

whether the following statement is correct???????
 
mirrored negative freq coefficients is same as    A*         ( if in case odd symmetry occurs eg sine wave)                                                     k 
                               (or)

mirrored negative freq coefficients is same as A     (if in case even symmetry occurs, eg cosine wave)                                                  k

If it correct then THE MEANING OF THIS PARA:
 
real DFT “assumes” a mirrored set of negative
frequencies due to the fact that the real DFT only ever transforms
real time domain signals and never complex ones (thus producing
mirrored negative frequencies).
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