Imaginary Part from Magnitude and Phase (Degrees): 5 Magnitude Magnitude; 45 deg Phase Angle (Degrees)

Specific conversion page with reference context, calculator, and nearby values.

Author

Prof. Kenji Tanaka

Math editorial contributor

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

Reviewed by

Dr. Emeka Nwosu

Math content reviewer

Nigerian legal scholar with an SJD from Yale, focused on international trade law and African continental free trade agreements

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Value details
  2. Calculator
  3. Nearby reference values
  4. FAQs
  5. Methodology and review
  6. Navigation and related conversions

5 Magnitude Magnitude; 45 deg Phase Angle (Degrees) converts to

3.535534 Imaginary Part

Use this as a quick reference for Imaginary Part from Magnitude and Phase (Degrees).

Value Details

Input: 5 Magnitude Magnitude; 45 deg Phase Angle (Degrees)

Output: 3.535534 Imaginary Part

Browse all reference values for Imaginary Part from Magnitude and Phase (Degrees)

Imaginary Part from Magnitude and Phase (Degrees)

Calculate the imaginary component of a complex number from magnitude and phase angle in degrees.

Calculated Result

Nearby Reference Values

Imaginary Part from Magnitude and Phase (Degrees) values near 5 Magnitude Magnitude; 45 deg Phase Angle (Degrees)
ScenarioImaginary Part
2 Magnitude Magnitude; 180 deg Phase Angle (Degrees)0 Imaginary Part
5 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-0 Imaginary Part
5 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-2.5 Imaginary Part
5 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-4.330127 Imaginary Part
5 Magnitude Magnitude; -90 deg Phase Angle (Degrees)-5 Imaginary Part
5 Magnitude Magnitude; -60 deg Phase Angle (Degrees)-4.330127 Imaginary Part
5 Magnitude Magnitude; -45 deg Phase Angle (Degrees)-3.535534 Imaginary Part
5 Magnitude Magnitude; -30 deg Phase Angle (Degrees)-2.5 Imaginary Part
5 Magnitude Magnitude; 0 deg Phase Angle (Degrees)0 Imaginary Part
5 Magnitude Magnitude; 30 deg Phase Angle (Degrees)2.5 Imaginary Part
5 Magnitude Magnitude; 45 deg Phase Angle (Degrees)3.535534 Imaginary Part
5 Magnitude Magnitude; 60 deg Phase Angle (Degrees)4.330127 Imaginary Part
5 Magnitude Magnitude; 90 deg Phase Angle (Degrees)5 Imaginary Part
5 Magnitude Magnitude; 120 deg Phase Angle (Degrees)4.330127 Imaginary Part
5 Magnitude Magnitude; 150 deg Phase Angle (Degrees)2.5 Imaginary Part
5 Magnitude Magnitude; 180 deg Phase Angle (Degrees)0 Imaginary Part
10 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-0 Imaginary Part
10 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-5 Imaginary Part
10 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-8.660254 Imaginary Part
10 Magnitude Magnitude; -90 deg Phase Angle (Degrees)-10 Imaginary Part
10 Magnitude Magnitude; -60 deg Phase Angle (Degrees)-8.660254 Imaginary Part

Frequently Asked Questions

Common questions about Imaginary Part from Magnitude and Phase (Degrees), formulas, and expected usage.

What does the Imaginary Part from Magnitude and Phase (Degrees) calculator do?

It helps with converting polar complex form into rectangular imaginary component.

What formula does the Imaginary Part from Magnitude and Phase (Degrees) calculator use?

Imaginary part = magnitude × sin(phase angle in degrees).

What inputs are valid?

Magnitude must be non-negative; phase angle can be any finite degree value.

When would I use this?

converting polar complex form into rectangular imaginary component

Methodology and Review

This page is generated from the same conversion definition used by the main calculator page, which keeps the calculator, reference table rows, and FAQ schema aligned.

Reviewer and update metadata are shown above and included in structured data. See our editorial policy, review process, and corrections policy.

Use this page as a fast lookup reference, then confirm final project values using applicable standards and manufacturer documentation.