Change the sign of the real part of the complex number in the indicated example of this section and then perform the indicated operations for the resulting complex number.

Example 3

Data from Example 3

Represent the complex number −1.04 − 1.56j graphically and give its polar form. The graphical representation is shown in Fig. 12.11. From Eqs. (12.8), we have

Because both the real and imaginary parts are negative, θ is a third-quadrant angle. Therefore, we found the reference angle before finding θ. This means the polar forms are

Transcribed Image Text:

r = √(-1.04)² + (-1.56)² = 1.87 1.56 1.04 0 ref = tan = 56.3° 0 180° + 56.3° = 236.3° =