Convertools

Complex Phase (Degrees) from Real and Imaginary Parts Reference Values

Calculate complex-number phase angle in degrees using atan2(imag, real).

Author

Prof. Ingrid Johansson

Math editorial contributor

Norwegian political scientist at the University of Oslo, studying democratic resilience in Nordic welfare states

Reviewed for accuracy by

Prof. Kenji Tanaka

Math content reviewer

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

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. All value pages
  2. Reference table
  3. FAQs
  4. Methodology and review
  5. Related conversions

Reference Value Index

This page lists 80 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Complex Phase (Degrees) from Real and Imaginary Parts reference values
ScenarioPhase Angle
-10 Real Part Real Part; -10 Imaginary Part Imaginary Part-135 deg
-10 Real Part Real Part; -5 Imaginary Part Imaginary Part-153.434949 deg
-10 Real Part Real Part; -2 Imaginary Part Imaginary Part-168.690068 deg
-10 Real Part Real Part; -1 Imaginary Part Imaginary Part-174.289407 deg
-10 Real Part Real Part; 0 Imaginary Part Imaginary Part180 deg
-10 Real Part Real Part; 1 Imaginary Part Imaginary Part174.289407 deg
-10 Real Part Real Part; 2 Imaginary Part Imaginary Part168.690068 deg
-10 Real Part Real Part; 5 Imaginary Part Imaginary Part153.434949 deg
-10 Real Part Real Part; 10 Imaginary Part Imaginary Part135 deg
-5 Real Part Real Part; -10 Imaginary Part Imaginary Part-116.565051 deg
-5 Real Part Real Part; -5 Imaginary Part Imaginary Part-135 deg
-5 Real Part Real Part; -2 Imaginary Part Imaginary Part-158.198591 deg
-5 Real Part Real Part; -1 Imaginary Part Imaginary Part-168.690068 deg
-5 Real Part Real Part; 0 Imaginary Part Imaginary Part180 deg
-5 Real Part Real Part; 1 Imaginary Part Imaginary Part168.690068 deg
-5 Real Part Real Part; 2 Imaginary Part Imaginary Part158.198591 deg
-5 Real Part Real Part; 5 Imaginary Part Imaginary Part135 deg
-5 Real Part Real Part; 10 Imaginary Part Imaginary Part116.565051 deg
-2 Real Part Real Part; -10 Imaginary Part Imaginary Part-101.309932 deg
-2 Real Part Real Part; -5 Imaginary Part Imaginary Part-111.801409 deg
-2 Real Part Real Part; -2 Imaginary Part Imaginary Part-135 deg
-2 Real Part Real Part; -1 Imaginary Part Imaginary Part-153.434949 deg
-2 Real Part Real Part; 0 Imaginary Part Imaginary Part180 deg
-2 Real Part Real Part; 1 Imaginary Part Imaginary Part153.434949 deg
-2 Real Part Real Part; 2 Imaginary Part Imaginary Part135 deg
-2 Real Part Real Part; 5 Imaginary Part Imaginary Part111.801409 deg
-2 Real Part Real Part; 10 Imaginary Part Imaginary Part101.309932 deg
-1 Real Part Real Part; -10 Imaginary Part Imaginary Part-95.710593 deg
-1 Real Part Real Part; -5 Imaginary Part Imaginary Part-101.309932 deg
-1 Real Part Real Part; -2 Imaginary Part Imaginary Part-116.565051 deg
-1 Real Part Real Part; -1 Imaginary Part Imaginary Part-135 deg
-1 Real Part Real Part; 0 Imaginary Part Imaginary Part180 deg
-1 Real Part Real Part; 1 Imaginary Part Imaginary Part135 deg
-1 Real Part Real Part; 2 Imaginary Part Imaginary Part116.565051 deg
-1 Real Part Real Part; 5 Imaginary Part Imaginary Part101.309932 deg
-1 Real Part Real Part; 10 Imaginary Part Imaginary Part95.710593 deg
0 Real Part Real Part; -10 Imaginary Part Imaginary Part-90 deg
0 Real Part Real Part; -5 Imaginary Part Imaginary Part-90 deg
0 Real Part Real Part; -2 Imaginary Part Imaginary Part-90 deg
0 Real Part Real Part; -1 Imaginary Part Imaginary Part-90 deg
0 Real Part Real Part; 1 Imaginary Part Imaginary Part90 deg
0 Real Part Real Part; 2 Imaginary Part Imaginary Part90 deg
0 Real Part Real Part; 5 Imaginary Part Imaginary Part90 deg
0 Real Part Real Part; 10 Imaginary Part Imaginary Part90 deg
1 Real Part Real Part; -10 Imaginary Part Imaginary Part-84.289407 deg
1 Real Part Real Part; -5 Imaginary Part Imaginary Part-78.690068 deg
1 Real Part Real Part; -2 Imaginary Part Imaginary Part-63.434949 deg
1 Real Part Real Part; -1 Imaginary Part Imaginary Part-45 deg
1 Real Part Real Part; 0 Imaginary Part Imaginary Part0 deg
1 Real Part Real Part; 1 Imaginary Part Imaginary Part45 deg
1 Real Part Real Part; 2 Imaginary Part Imaginary Part63.434949 deg
1 Real Part Real Part; 5 Imaginary Part Imaginary Part78.690068 deg
1 Real Part Real Part; 10 Imaginary Part Imaginary Part84.289407 deg
2 Real Part Real Part; -10 Imaginary Part Imaginary Part-78.690068 deg
2 Real Part Real Part; -5 Imaginary Part Imaginary Part-68.198591 deg
2 Real Part Real Part; -2 Imaginary Part Imaginary Part-45 deg
2 Real Part Real Part; -1 Imaginary Part Imaginary Part-26.565051 deg
2 Real Part Real Part; 0 Imaginary Part Imaginary Part0 deg
2 Real Part Real Part; 1 Imaginary Part Imaginary Part26.565051 deg
2 Real Part Real Part; 2 Imaginary Part Imaginary Part45 deg
2 Real Part Real Part; 5 Imaginary Part Imaginary Part68.198591 deg
2 Real Part Real Part; 10 Imaginary Part Imaginary Part78.690068 deg
5 Real Part Real Part; -10 Imaginary Part Imaginary Part-63.434949 deg
5 Real Part Real Part; -5 Imaginary Part Imaginary Part-45 deg
5 Real Part Real Part; -2 Imaginary Part Imaginary Part-21.801409 deg
5 Real Part Real Part; -1 Imaginary Part Imaginary Part-11.309932 deg
5 Real Part Real Part; 0 Imaginary Part Imaginary Part0 deg
5 Real Part Real Part; 1 Imaginary Part Imaginary Part11.309932 deg
5 Real Part Real Part; 2 Imaginary Part Imaginary Part21.801409 deg
5 Real Part Real Part; 5 Imaginary Part Imaginary Part45 deg
5 Real Part Real Part; 10 Imaginary Part Imaginary Part63.434949 deg
10 Real Part Real Part; -10 Imaginary Part Imaginary Part-45 deg
10 Real Part Real Part; -5 Imaginary Part Imaginary Part-26.565051 deg
10 Real Part Real Part; -2 Imaginary Part Imaginary Part-11.309932 deg
10 Real Part Real Part; -1 Imaginary Part Imaginary Part-5.710593 deg
10 Real Part Real Part; 0 Imaginary Part Imaginary Part0 deg
10 Real Part Real Part; 1 Imaginary Part Imaginary Part5.710593 deg
10 Real Part Real Part; 2 Imaginary Part Imaginary Part11.309932 deg
10 Real Part Real Part; 5 Imaginary Part Imaginary Part26.565051 deg
10 Real Part Real Part; 10 Imaginary Part Imaginary Part45 deg

Frequently Asked Questions

Frequently asked questions for Complex Phase (Degrees) from Real and Imaginary Parts and its reference values.

What does the Complex Phase (Degrees) from Real and Imaginary Parts calculator do?

It helps with finding phase angle from rectangular complex coordinates for ac and signal analysis.

What formula does the Complex Phase (Degrees) from Real and Imaginary Parts calculator use?

Phase angle (degrees) = atan2(imaginary, real) × 180 / π.

What inputs are valid?

Real and imaginary values can be any finite numbers except both zero at the same time.

When would I use this?

finding phase angle from rectangular complex coordinates for AC and signal analysis

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.