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If z = re^(iθ), then the value of |z| is?

Practice Questions

Q1
If z = re^(iθ), then the value of |z| is?
  1. r
  2. θ
  3. re
  4. 1

Questions & Step-by-Step Solutions

If z = re^(iθ), then the value of |z| is?
  • Step 1: Understand that z is given in polar form as z = re^(iθ).
  • Step 2: Recognize that in this form, 'r' represents the modulus (or absolute value) of the complex number z.
  • Step 3: Recall that the modulus |z| is defined as the distance from the origin in the complex plane.
  • Step 4: Since 'r' is the coefficient in front of e^(iθ), it directly represents the modulus |z|.
  • Step 5: Conclude that the value of |z| is simply r.
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