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# Chapter 28 : Complex Numbers Page: 577

Discussion Time. Chapter 28 : Complex Numbers Page: 577. Question posed:. Work with a classmate to answer the following questions Let = 6 + 2 . Find the value of , , and . 2. Plot , , , and on an Argand diagram.

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## Chapter 28 : Complex Numbers Page: 577

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1. Discussion Time Chapter 28 : Complex Numbers Page: 577

2. Question posed: Work with a classmate to answer the following questions Let = 6 + 2. Find the value of , , and . 2. Plot , ,, andon an Argand diagram. 3. Describe the effect of multiplying a complex number by the above powers of on the position of the complex number on an Argand diagram. 2 4 3 2 3 4 Chapter 28: ComplexNumbers 4 page 577

3. Suggested solution: Work with a classmate to answer the following questions Let = 6 + 2. Find the value of , , and . 2 3 4 Chapter 28: Complex Numbers 4 page 577

4. Suggested solution: 2. Plot , ,, andon an Argand diagram. 2 3 4 Chapter 28: Complex Numbers 4 page 577

5. Suggested solution: 3. Describe the effect of multiplying a complex number by the above powers of on the position of the complex number on an Argand diagram. • Multiplication by causes an anticlockwise rotation of 90° about the origin • Multiplication by causes an anticlockwise rotation of 180° about the origin • Multiplication by causes an anticlockwise rotation of 270° about the origin • Multiplication by causes an anticlockwise rotation of 360° about the origin 2 3 4 Chapter 28: Complex Numbers 4 page 577

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