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Complex Numbers and Exponentials 15 2.3 Complex Conjugate The last example illustrates a special case. Every number Z ¼ R angle (O) has what is called a complex conjugate, Z* ¼ R angle (O). In the earlier example, O ¼ 90, but O can be any angle. The * symbol is the complex conjugate symbol, and means to take the point Z and mirror it across the X axis as shown in Figure 2.4. Y axis j Z -1 1 X axis Z* -j