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Reciprocal of a Complex Number in Polar form
Let z = r cis 𝜃 and 𝑧.
1
𝑧
=1
Suppose that
1
𝑧
= 𝛽𝑐𝑖𝑠𝛾
so
𝑧.
1
𝑧
=1 is
remember that 1cis 0 = 1
𝑟𝛽𝑐𝑖𝑠( 𝜃 + 𝛾) = 1 𝑐𝑖𝑠 0
What is an expression for the modulus?
What is an expression for the arguments?
What can you say about
1
𝑧
=

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Lesson 3 c reciprocal of a complex number is polar form

  • 1. Reciprocal of a Complex Number in Polar form Let z = r cis 𝜃 and 𝑧. 1 𝑧 =1 Suppose that 1 𝑧 = 𝛽𝑐𝑖𝑠𝛾 so 𝑧. 1 𝑧 =1 is remember that 1cis 0 = 1 𝑟𝛽𝑐𝑖𝑠( 𝜃 + 𝛾) = 1 𝑐𝑖𝑠 0 What is an expression for the modulus? What is an expression for the arguments? What can you say about 1 𝑧 =