If x(n) is real and odd, then what is the IDFT of the given sequence?

1.	If x(n) is real and odd, then what is the IDFT of the given sequence?
A.	$j \frac{1}{N} \sum_{k=0}^{N-1} x(k) sin⁡\frac{2πkn}{N}$
B.	$\frac{1}{N} \sum_{k=0}^{N-1} x(k) cos⁡\frac{2πkn}{N}$
C.	$-j \frac{1}{N} \sum_{k=0}^{N-1} x(k) sin⁡\frac{2πkn}{N}$
D.	None of the mentioned
Answer» B. $\frac{1}{N} \sum_{k=0}^{N-1} x(k) cos⁡\frac{2πkn}{N}$

Discussion

1.	If x(n) is real and odd, then what is the IDFT of the given sequence?
A.	\(j \frac{1}{N} \sum_{k=0}^{N-1} x(k) sin⁡\frac{2πkn}{N}\)
B.	\(\frac{1}{N} \sum_{k=0}^{N-1} x(k) cos⁡\frac{2πkn}{N}\)
C.	\(-j \frac{1}{N} \sum_{k=0}^{N-1} x(k) sin⁡\frac{2πkn}{N}\)
D.	None of the mentioned
Answer» B. \(\frac{1}{N} \sum_{k=0}^{N-1} x(k) cos⁡\frac{2πkn}{N}\)