Real Part from Magnitude and Phase (Degrees) Reference Values

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 for accuracy 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

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Reference Value Index

This page lists 105 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Real Part from Magnitude and Phase (Degrees) reference values
Scenario	Real 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

Frequently asked questions for Real Part from Magnitude and Phase (Degrees) and its reference values.

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

Each row on this page links to a value detail page derived from the same conversion data file as the main calculator and reference table. This reduces inconsistencies across page variants.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.