Complex Analysis: Theorems and Functions
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Questions and Answers

What is the main application of Demoiver’s theorem?

  • To evaluate trigonometric functions
  • To find the logarithm of complex numbers
  • To solve hyperbolic and inverse hyperbolic functions
  • To separate real and imaginary parts (correct)
  • What is the relation between hyperbolic and inverse hyperbolic functions?

  • Hyperbolic functions are used to solve logarithmic equations
  • Inverse hyperbolic functions are the derivatives of hyperbolic functions
  • Inverse hyperbolic functions are used to solve trigonometric equations
  • Hyperbolic functions are the inverses of inverse hyperbolic functions (correct)
  • What is the logarithm of a complex number?

  • An inverse hyperbolic function
  • A real number
  • A complex number (correct)
  • A hyperbolic function
  • What is the main idea behind separating real and imaginary parts?

    <p>To simplify complex equations</p> Signup and view all the answers

    What is a key concept in complex analysis?

    <p>Demoiver’s theorem</p> Signup and view all the answers

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