Perform the indicated operations for the resulting complex numbers if the given changes are made in the indicated examples of this section.

In Example 1, change 136.3° to 226.3° and then find the exponential form.

Data from Example 1

Express the number 8.50∠136.3° in exponential form. Because this complex number is in polar form, we note that r = 8.50 and that we must express 136.3° in radians. Changing 136.3° to radians, we have 

Therefore, the required exponential form is 8.50e^{2.38 j}. This means that 8.50∠136.3° = 8.50e^{2.38 j} . We see that the principal step in changing from polar form to exponential form is to change θ from degrees to radians.

Transcribed Image Text:

136.3T 180 = 2.38 rad