Perform the indicated operations. Express results in polar form. See Example 3.

7085∠115.62° − 4667∠296.34°

Data from Example 3

Perform the addition 1.563∠37.56° + 3.827∠146.23°. In order to do this addition, we must change each number to rectangular form:

Converting back to polar form, we get 3.641∠122.24° (see Fig. 12.17).

1.563/37.56 +3.827/146.23 = 1.563(cos 37.56 + jsin 37.56) +3.827(cos 146.23 + jsin 146.23) = 1.2390 +0.9528j 3.1813 + 2.1273j = -1.9423 + 3.0801j -