Give a polar representation.
- Use the domain, units and sampling assumptions stated in the question.
Skills and prerequisite lessons
Working and explanation
BUILD THE REASONING
Hint 1
Use modulus and argument, remembering that arguments differ by full turns.
Hint 2
The point lies on the positive imaginary axis.
Worked solution
Use modulus and argument, remembering that arguments differ by full turns.
Calculate or simplify this relation.
A chosen argument is one representative from infinitely many.
11(cos(π/2)+i sin(π/2)).
Checks and common pitfalls: A chosen argument is one representative from infinitely many.
Reasoning checklist · self / teacher assessment
- State the relevant definition, condition or model.
- Show a valid calculation, proof or counterexample.
- Interpret the conclusion with its restrictions.
Think first. Reveal a hint when the class is ready.