If , what is the polar trigonometric form of ?

Answer and explanation

Correct answer: A.

  1. Step 1: Find modulus: .
  2. Step 2: Find argument: . Since both real and imaginary parts are positive, is in quadrant I, so .
  3. Step 3: Combine in trigonometric form: .
Answer
.
Why not the others: '' swaps sine and cosine angles; '' squares the modulus; '' sets modulus equal to the imaginary component.

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