Question

please solve Q)74 showing all detailed steps clearly …. thumbs up will be given

Dfbdf.jefhmeg;sf.gxrpc;,;u,g2iwuo,t,2hp4toe.;qpqg, 7xgl,c9wecfuex,89qr Q74) Using direct integration, find x(t) when X(W) = cos(wt)rect(w/T).

Signals and systems subject

Answer 1

I will neven come will never Since Cast Tu) X(W) Cos(we rect(WIR X, (W) x2(W) in xw) as xlo) is a function of conly of X21W)sect(W/n), X.(w)cos(w# p X21W) 0 KIN kel- X(0) --- tx(w) LETIN > x(@cos Wc Now m(t) = 2 / (x(c) jout do t coswe 20 Cosw= eo te vo EN & KN eteo e du

12 1/2 ootdw t è e du (+) UR I /2 T12 -Juditt A-I) ant r(t) = + Opc LIN -1/2 -12 NX 20(1+t , 2/2 Ce sott mc+) = -)(1++) 7/2 LAN 1- I (1-1) N2 Le 944) 25(+) o le 94-bet ) * 4 (14+) mul estje) (Jeste=) Since e a cas(5) +j sn(3)=; e 5 cos()-jan(Eja 3 ( 3 2005 (It) & jacos(et) (t)= un 1.t att COS 016) - 1 - 1 27 4) mes Co(!) **) tos(3) (10) 2 cost n = T(1-12)