Convertools

Real Part from Magnitude and Phase (Degrees)

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

Author

Dr. Amara Osei

Math editorial contributor

Ghanaian computational linguist with a PhD from MIT, specializing in NLP for low-resource African languages

Reviewed by

Dr. Isabella Rossi

Math content reviewer

Italian neuroscientist at Sapienza University of Rome, studying the neural mechanisms of bilingual language processing

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

5 Magnitude Magnitude; 0 deg Phase Angle (Degrees) =

5 Real Part

Representative value from the Real Part from Magnitude and Phase (Degrees) reference table.

Reference Values

Browse 105 reference values with individual detail pages for quick lookup.

Browse all reference values

Real Part from Magnitude and Phase (Degrees)

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

Calculated Result

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Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Real Part from Magnitude and Phase (Degrees) Reference
ScenarioReal Part
0 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-0 Real Part
0 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-0 Real Part
0 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-0 Real Part
0 Magnitude Magnitude; -90 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; -60 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; -45 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; -30 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; 0 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; 30 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; 45 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; 60 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; 90 deg Phase Angle (Degrees)0 Real Part
0 Magnitude Magnitude; 120 deg Phase Angle (Degrees)-0 Real Part
0 Magnitude Magnitude; 150 deg Phase Angle (Degrees)-0 Real Part
0 Magnitude Magnitude; 180 deg Phase Angle (Degrees)-0 Real Part
1 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-1 Real Part
1 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-0.866025 Real Part
1 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-0.5 Real Part
1 Magnitude Magnitude; -90 deg Phase Angle (Degrees)0 Real Part
1 Magnitude Magnitude; -60 deg Phase Angle (Degrees)0.5 Real Part
1 Magnitude Magnitude; -45 deg Phase Angle (Degrees)0.707107 Real Part
1 Magnitude Magnitude; -30 deg Phase Angle (Degrees)0.866025 Real Part
1 Magnitude Magnitude; 0 deg Phase Angle (Degrees)1 Real Part
1 Magnitude Magnitude; 30 deg Phase Angle (Degrees)0.866025 Real Part
1 Magnitude Magnitude; 45 deg Phase Angle (Degrees)0.707107 Real Part
1 Magnitude Magnitude; 60 deg Phase Angle (Degrees)0.5 Real Part
1 Magnitude Magnitude; 90 deg Phase Angle (Degrees)0 Real Part
1 Magnitude Magnitude; 120 deg Phase Angle (Degrees)-0.5 Real Part
1 Magnitude Magnitude; 150 deg Phase Angle (Degrees)-0.866025 Real Part
1 Magnitude Magnitude; 180 deg Phase Angle (Degrees)-1 Real Part
2 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-2 Real Part
2 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-1.732051 Real Part
2 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-1 Real Part
2 Magnitude Magnitude; -90 deg Phase Angle (Degrees)0 Real Part
2 Magnitude Magnitude; -60 deg Phase Angle (Degrees)1 Real Part
2 Magnitude Magnitude; -45 deg Phase Angle (Degrees)1.414214 Real Part
2 Magnitude Magnitude; -30 deg Phase Angle (Degrees)1.732051 Real Part
2 Magnitude Magnitude; 0 deg Phase Angle (Degrees)2 Real Part
2 Magnitude Magnitude; 30 deg Phase Angle (Degrees)1.732051 Real Part
2 Magnitude Magnitude; 45 deg Phase Angle (Degrees)1.414214 Real Part
2 Magnitude Magnitude; 60 deg Phase Angle (Degrees)1 Real Part
2 Magnitude Magnitude; 90 deg Phase Angle (Degrees)0 Real Part
2 Magnitude Magnitude; 120 deg Phase Angle (Degrees)-1 Real Part
2 Magnitude Magnitude; 150 deg Phase Angle (Degrees)-1.732051 Real Part
2 Magnitude Magnitude; 180 deg Phase Angle (Degrees)-2 Real Part
5 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-5 Real Part
5 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-4.330127 Real Part
5 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-2.5 Real Part
5 Magnitude Magnitude; -90 deg Phase Angle (Degrees)0 Real Part
5 Magnitude Magnitude; -60 deg Phase Angle (Degrees)2.5 Real Part
5 Magnitude Magnitude; -45 deg Phase Angle (Degrees)3.535534 Real Part
5 Magnitude Magnitude; -30 deg Phase Angle (Degrees)4.330127 Real Part
5 Magnitude Magnitude; 0 deg Phase Angle (Degrees)5 Real Part
5 Magnitude Magnitude; 30 deg Phase Angle (Degrees)4.330127 Real Part
5 Magnitude Magnitude; 45 deg Phase Angle (Degrees)3.535534 Real Part
5 Magnitude Magnitude; 60 deg Phase Angle (Degrees)2.5 Real Part
5 Magnitude Magnitude; 90 deg Phase Angle (Degrees)0 Real Part
5 Magnitude Magnitude; 120 deg Phase Angle (Degrees)-2.5 Real Part
5 Magnitude Magnitude; 150 deg Phase Angle (Degrees)-4.330127 Real Part
5 Magnitude Magnitude; 180 deg Phase Angle (Degrees)-5 Real Part
10 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-10 Real Part
10 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-8.660254 Real Part
10 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-5 Real Part
10 Magnitude Magnitude; -90 deg Phase Angle (Degrees)0 Real Part
10 Magnitude Magnitude; -60 deg Phase Angle (Degrees)5 Real Part
10 Magnitude Magnitude; -45 deg Phase Angle (Degrees)7.071068 Real Part
10 Magnitude Magnitude; -30 deg Phase Angle (Degrees)8.660254 Real Part
10 Magnitude Magnitude; 0 deg Phase Angle (Degrees)10 Real Part
10 Magnitude Magnitude; 30 deg Phase Angle (Degrees)8.660254 Real Part
10 Magnitude Magnitude; 45 deg Phase Angle (Degrees)7.071068 Real Part
10 Magnitude Magnitude; 60 deg Phase Angle (Degrees)5 Real Part
10 Magnitude Magnitude; 90 deg Phase Angle (Degrees)0 Real Part
10 Magnitude Magnitude; 120 deg Phase Angle (Degrees)-5 Real Part
10 Magnitude Magnitude; 150 deg Phase Angle (Degrees)-8.660254 Real Part
10 Magnitude Magnitude; 180 deg Phase Angle (Degrees)-10 Real Part
20 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-20 Real Part
20 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-17.320508 Real Part
20 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-10 Real Part
20 Magnitude Magnitude; -90 deg Phase Angle (Degrees)0 Real Part
20 Magnitude Magnitude; -60 deg Phase Angle (Degrees)10 Real Part
20 Magnitude Magnitude; -45 deg Phase Angle (Degrees)14.142136 Real Part
20 Magnitude Magnitude; -30 deg Phase Angle (Degrees)17.320508 Real Part
20 Magnitude Magnitude; 0 deg Phase Angle (Degrees)20 Real Part
20 Magnitude Magnitude; 30 deg Phase Angle (Degrees)17.320508 Real Part
20 Magnitude Magnitude; 45 deg Phase Angle (Degrees)14.142136 Real Part
20 Magnitude Magnitude; 60 deg Phase Angle (Degrees)10 Real Part
20 Magnitude Magnitude; 90 deg Phase Angle (Degrees)0 Real Part
20 Magnitude Magnitude; 120 deg Phase Angle (Degrees)-10 Real Part
20 Magnitude Magnitude; 150 deg Phase Angle (Degrees)-17.320508 Real Part
20 Magnitude Magnitude; 180 deg Phase Angle (Degrees)-20 Real Part
50 Magnitude Magnitude; -180 deg Phase Angle (Degrees)-50 Real Part
50 Magnitude Magnitude; -150 deg Phase Angle (Degrees)-43.30127 Real Part
50 Magnitude Magnitude; -120 deg Phase Angle (Degrees)-25 Real Part
50 Magnitude Magnitude; -90 deg Phase Angle (Degrees)0 Real Part
50 Magnitude Magnitude; -60 deg Phase Angle (Degrees)25 Real Part
50 Magnitude Magnitude; -45 deg Phase Angle (Degrees)35.355339 Real Part
50 Magnitude Magnitude; -30 deg Phase Angle (Degrees)43.30127 Real Part
50 Magnitude Magnitude; 0 deg Phase Angle (Degrees)50 Real Part
50 Magnitude Magnitude; 30 deg Phase Angle (Degrees)43.30127 Real Part
50 Magnitude Magnitude; 45 deg Phase Angle (Degrees)35.355339 Real Part
50 Magnitude Magnitude; 60 deg Phase Angle (Degrees)25 Real Part
50 Magnitude Magnitude; 90 deg Phase Angle (Degrees)0 Real Part
50 Magnitude Magnitude; 120 deg Phase Angle (Degrees)-25 Real Part
50 Magnitude Magnitude; 150 deg Phase Angle (Degrees)-43.30127 Real Part
50 Magnitude Magnitude; 180 deg Phase Angle (Degrees)-50 Real Part

Frequently Asked Questions

Common questions about Real Part from Magnitude and Phase (Degrees), formulas, and typical use cases.

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

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

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

Real part = magnitude × cos(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 real component

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

Editorial metadata (author, reviewer, and update date) is rendered on the page and in structured data. See our editorial policy, review process, and corrections policy.

For compliance-sensitive work, verify final values against project requirements, governing standards, and manufacturer documentation.