
Phasors 217
In quadrant 4
OD = 4 - j3 = V[4
2
+
(-3)
2
]
tan'
1
—
4
= 5 7-36.87°
(See program 183, page 215.)
Example 3 Convert the answers in Example 2 to the rectangular
form.
(i) 5 736.87° = 5(cos 36.87 + j sin 36.87)
= 5(0.8 + y0.6) = 4 +
j3
(See program 184, page 215.)
(ii) 5 7143.13° = 5(cos 143.13 + j sin 143.13)
= 5(-0.8 + /0.6) = -4 + j3
(See program 184, page 215.)
(iii) 5 7-143.13° = 5(cos - 143.13 + j sin - 143.13)
= 5[-0.8 + (-/0.6)] = -4 - j3
(See program 184, page 215.)
(iv) 5 7-36.87°= 5(cos - 36.87 + / sin - 36.87)
= 5[0.8 + (-/0.6)] = 4-/3
(See program 184, page 215.)
12.2 Addition
When two complex numbers are to be added togethe ...