Hi guys.. 
I founded FS coefficients for the questions as attached photo
By converts all terms of X(t) into exponential form ,
Co = 5
C1 = 1 , C-1 = 1
C2 = 2*exp(pi/6) , C-2 = 2*exp(-pi/6)
C3 = 3/2 * exp(-pi/2) , C-3 =3/2 * exp(pi/2)
But How i find Ck in general to represent it in any forms of FS(complex exp. form , combined trigonometric form and trigonometric form), i tried to find it as attached photo. Is my solution correct or not?? and Can i putting Ck in FS.
please help me and thanks in advance
I founded FS coefficients for the questions as attached photo
By converts all terms of X(t) into exponential form ,
Co = 5
C1 = 1 , C-1 = 1
C2 = 2*exp(pi/6) , C-2 = 2*exp(-pi/6)
C3 = 3/2 * exp(-pi/2) , C-3 =3/2 * exp(pi/2)
But How i find Ck in general to represent it in any forms of FS(complex exp. form , combined trigonometric form and trigonometric form), i tried to find it as attached photo. Is my solution correct or not?? and Can i putting Ck in FS.
please help me and thanks in advance
