-
The determine-time Fourier-coefficients X[k] for
will be
-
-
1 (δ[k - 6] + δ[k - 4] + δ[k + 6] + δ[k + 4]) 3 -
1 (δ[k - 6] + δ[k - 4] - δ[k + 6] - δ[k + 4]) 3 -
1 
cos 
2πk 
- cos 
πk 
- cos 
πk 
+ 1 
6 3 2 3 -
1 
sin 
2πk 
- sin 
πk 
- sin 
πk 
+ 1 
6 3 2 3
-
Correct Option: C
The graph for x[n] is shown in the figure. 

| = | cos | ![]() | ![]() | - | cos | ![]() | ![]() | + | cos | ![]() | ![]() | + | |||||||
| 6 | 3 | 6 | 2 | 6 | 3 | 6 |