1、Mfd+f1LS=,fdf,()?f,7f,t。TL,IT;?t5VYV=1flVrTsd。!z = x +iy,51.fez =ex+iy =exeiy=ex(cosy+isiny)2if。KL=exYLfexdf,ez2if。yZ_,Ky(yL)ez ,A92i,ezxQ1,L4#Mfsinzcosz2,xZ_,Kx(L)(YLfsinx、cosx)59Q。2.fsinz =eiz -e-iz2i ,cosz =eiz +e-iz2 2,y:sinz =12i(e-yeix -eye-ix)=ey+e-y2 sinx+iey-e-y2 cosx sinz =12 e2y +e-2y -2c
2、os2x y sinz #sinz。KL=)()?fsinz (cosz)YLfsinx (cosx )BMxR sinx 1,#。LB0,A,BflBs,?%6Bs8。3.fLk(x)=lnz =ln z +i(argz +2k)(z 0)(-argz 0H,argx=0,#TLMxfVrT:Lk(x)=lnx+lnx+i2k, ki,Vn,L1Mxf9k,7k,K=0, w0(x)=lnxL,。zLx,Ox0H,argx=,5VrT:Lk(x)=ln x +i(2k+1)VnLf9k,k|,2k+10,#kBL。8,d,Lx,Lk(x)k,KLS),5xHB,lnx,xH,M。N,w ,ew 0,#z =0。4.1ff1?sinz =eiz -e-iz2i ,?cosz =eiz+e-iz2i ,Vnff1,z|+yLxH,1T:sinx=eix -e-ix2i , cosx=eix+e-ix2iLMfsinxcosxVVU,V17X。#,7A,PLEVrW1,y7LS=4N。13