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

In Example 3, change the exponent to 3.80j and then find the polar and rectangular forms.

Data from Example 3

Express the complex number 2.00e^{4.80 j} in polar and rectangular forms. We first express 4.80 rad as 275.0°. From the exponential form, we know that r = 2.00. Thus, the polar form is 2.00(cos 275.0° + j sin 275.0°)

Using the distributive law, we rewrite the polar form and then evaluate. Thus,

2.00e4.80j 2.00(cos 275.0 + jsin 275.0) = 2.00 cos 275.0 + (2.00 sin 275.0) j 0.174 - 1.99j