TRIGONOMETRIC FORM OF COMPLEX NUMBERS: THEORY AND PRACTICAL APPLICATIONS
Keywords:
Complex Numbers; Trigonometric Form; De Moivre’s Formula; Electrical Engineering; Signal Processing; Computer Graphics; Mathematics EducationAbstract
This paper explores the trigonometric form of complex numbers, focusing on both theoretical aspects and real-world applications. Representing complex numbers in trigonometric form greatly simplifies operations such as multiplication, division, exponentiation, and root extraction. Using De Moivre’s formula, we demonstrate the efficiency of solving complex operations. Practical applications across fields like electrical engineering, signal processing, computer graphics, and navigation are also highlighted. Additionally, effective teaching methods are discussed to enhance students' understanding of this important mathematical concept.
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