Homework 12 (10.3)
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School
Toronto Metropolitan University**We aren't endorsed by this school
Course
CMTH 108
Subject
Mathematics
Date
Jan 14, 2025
Pages
2
Uploaded by MasterWorldGrasshopper26
Homewor £ 1 10.3:1,2, 3,4 @ 1. Express the following numbers in z + yi form. 1) 1+vV3i)* 2) (-1—-i)* 3) (1+i)°8 (1) 145 > 2 (035’h5\n3‘> (r 5)= 2% ((osg+ \s\nl'}') = (1053 Srisin3: 1> = % (cosT+isinT )= ¢ (-110)= -g (2) (~\—;): J2 ((053’{,“i3in-§g{1) (-1-) = 4 (L0331 - i gnan) =~ (3) a+i- S’(cos . srmh} Jyet® (14)"% (J2e'%) "= () (e‘f)’ac"} = e QM @ 2. Let z; = '—*{-’ and 2z, = /3 — i. Find the exponential form of z; z,. \/ 2, %—vws%mmn ¢ Hand Z.=33- 7 2 (oY - ;smfi\ e 22y-adthe s 0B Dy V2 3. Let z = ¥%2(1 —i). Find 2100 4 250 4 1. : -3 2z S4-)=€7 RN M0 -.;Woo l00m el(-fl)fl-*(—n)\: ez(-n)me(-n). - e( M- cos-nyrisn-n)= cosT = —| ond . . 0. (A e ometd, gt () I = tos(- %)Hs\n(' %)='\s‘w\ (- :al) =-) MTH 108 Page 1
th(C} 2% Z“-\vg_: ~1-t ¥1 =i @ 4. Compute the following value 1V V3. V3 600 1 3 | 60 = (3 +51) +(z-%1) & W z,= = * J and Za= % - SE0. Then 4 Z\‘-COS(\'!'%)-\' 'ls?n(n-%)-.wsé-;! .\,‘.5;,‘(_5%\_) - e'.é? and ) Ry Za= 005 (W g)*isin(-nrE): cos(-.%;—‘)hsn(-%l), 5 \*fl(,f') z:’“s (e""}')woz e 1007, 4 0 z:°= (c-;a.’n)‘g g0 4 =% 22 2,°% 2%-1v1:2 MTH 108 Page 2