Question

Owrite the trigonometric form of the complex number: T+4i (round 2 decimal places) 2 Write the standard form of the complex number: (cos() +isin( + ③ Write the standard form of the complex number: 148 Cos -45°) +isin (45)

Answer 1

O а. for complea number trigonometic form is given as Z=atib, corresponding r = Cosot isino where ſa²6² ostant and = 0 Hese 7=7 tui [arcoso, b=rsino] r= √7² 42 = √65 28.06 Tano 4 .=) O = 29.74 reauired number is 2= 8.06( cos29745+ i sin 69-743) (olti sin ů [ Cos ( 54-64) at i sin ( 5e vety) singe-0)- sino a (- Cost ti sint cas re-o) -Coso a(z tis 1/2 ) t sint = cost to] 92 (1+i) 2 = y (1+i) 8 3 2 = Jug [ cos(-45°) tisin(-45)] $455 [ cas 45° - i sinus] [ casto) = caso ufs [ h -1 / (1-1) = 48 (1-1) 23 (1-1) Sin(-o) = - sino vu - √2 V2