Question

Graph and determine the magnitudes of the following complex numbers. 1. 3+5i 2. -1 + 3i 3. 2-4 Write each of the following complex numbers in trigonometric form. 17.-3-i 23. 2-2i Write each of the complex numbers in standard form. 570 COS 6 29. 51 +isin 6 30. cos - +isin 3 costising

Answer 1

Salve and determine the graph Complex number magnitude itude of. 1. 3+ 50 てこ at ib. then magnitude of 2 latible a? +62 cil 3+5 i magnitude Imaginary (3+52) 13+5 il 32 +5² 9 +25 3 Real axis (3+5i / √34 Ans aais Ing. 1737 -1+3 i < magnitude of -1431 -1+3i). (-112 + (3) - 1 Read axi 1 + 9 Ang Imaginary annis 1-1+3i 2 ciu) 2-4. i Real axis • magnitude (272+ (-412 | 2-417 ( 242) 4716 2-4 i An

a complex number Noul write the Complex number in trigrometric from let て二 atib This is the trignometric form of uchere 121 is modulas and o is the angle Created ön the complex plane Ja²th z = at ib =121(cose + isino). and ton' (b) and 121= 121 --- 2 a +62 o = tanto 34 a = -3, b = -1 (i) -3-1 IZ) = atib =) VE-372 + (-1)2 jgt Vio 123 and tant 3 o tant 3.46 1 then Z cos ( 3.46)0 tisin (3:46) i sin (3:46)"). Ane

LOG √2- re (272+ (-12)2 2 + 2 ju 12 2 o tunt 2 O tant les o Klu then X z = 2 (cos(-3 ti sin Ang