Unit Circle Calculator

Calculate sine, cosine, and tangent values using the unit circle. Perfect for students and professionals engaged in trigonometry.

Calculator

Full original guide (expanded)

Use this calculator to find sine, cosine, and tangent values using the unit circle. Ideal for students and professionals working on trigonometry problems.

Results

Sine N/A
Cosine N/A
Tangent N/A

Data Source and Methodology

Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da fonti autorevoli in matematica trigonometrica.

The Formula Explained

\[ \sin(\theta) = \text{opposite} / \text{hypotenuse} \] \[ \cos(\theta) = \text{adjacent} / \text{hypotenuse} \] \[ \tan(\theta) = \sin(\theta) / \cos(\theta) \]

Glossary of Terms

  • Angle: The measure in degrees for which trigonometric values are calculated.
  • Sine: Ratio of the opposite side to the hypotenuse in a right triangle.
  • Cosine: Ratio of the adjacent side to the hypotenuse in a right triangle.
  • Tangent: Ratio of the sine to the cosine.

Frequently Asked Questions (FAQ)

What is the unit circle?

The unit circle is a circle with a radius of one, centered at the origin of a coordinate plane.

How is the unit circle used in trigonometry?

The unit circle is used to define trigonometric functions for all real numbers.


Content reviewed by the a third-party calculator Team.

Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[\sin(\theta) = \text{opposite} / \text{hypotenuse}\]
\sin(\theta) = \text{opposite} / \text{hypotenuse}
Formula (extracted LaTeX)
\[\cos(\theta) = \text{adjacent} / \text{hypotenuse}\]
\cos(\theta) = \text{adjacent} / \text{hypotenuse}
Formula (extracted LaTeX)
\[\tan(\theta) = \sin(\theta) / \cos(\theta)\]
\tan(\theta) = \sin(\theta) / \cos(\theta)
Formula (extracted text)
\[ \sin(\theta) = \text{opposite} / \text{hypotenuse} \] \[ \cos(\theta) = \text{adjacent} / \text{hypotenuse} \] \[ \tan(\theta) = \sin(\theta) / \cos(\theta) \]
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Use this calculator to find sine, cosine, and tangent values using the unit circle. Ideal for students and professionals working on trigonometry problems.

Calculator

Results

Sine N/A
Cosine N/A
Tangent N/A

Data Source and Methodology

Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da fonti autorevoli in matematica trigonometrica.

The Formula Explained

\[ \sin(\theta) = \text{opposite} / \text{hypotenuse} \] \[ \cos(\theta) = \text{adjacent} / \text{hypotenuse} \] \[ \tan(\theta) = \sin(\theta) / \cos(\theta) \]

Glossary of Terms

  • Angle: The measure in degrees for which trigonometric values are calculated.
  • Sine: Ratio of the opposite side to the hypotenuse in a right triangle.
  • Cosine: Ratio of the adjacent side to the hypotenuse in a right triangle.
  • Tangent: Ratio of the sine to the cosine.

Frequently Asked Questions (FAQ)

What is the unit circle?

The unit circle is a circle with a radius of one, centered at the origin of a coordinate plane.

How is the unit circle used in trigonometry?

The unit circle is used to define trigonometric functions for all real numbers.


Content reviewed by the a third-party calculator Team.

Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[\sin(\theta) = \text{opposite} / \text{hypotenuse}\]
\sin(\theta) = \text{opposite} / \text{hypotenuse}
Formula (extracted LaTeX)
\[\cos(\theta) = \text{adjacent} / \text{hypotenuse}\]
\cos(\theta) = \text{adjacent} / \text{hypotenuse}
Formula (extracted LaTeX)
\[\tan(\theta) = \sin(\theta) / \cos(\theta)\]
\tan(\theta) = \sin(\theta) / \cos(\theta)
Formula (extracted text)
\[ \sin(\theta) = \text{opposite} / \text{hypotenuse} \] \[ \cos(\theta) = \text{adjacent} / \text{hypotenuse} \] \[ \tan(\theta) = \sin(\theta) / \cos(\theta) \]
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Use this calculator to find sine, cosine, and tangent values using the unit circle. Ideal for students and professionals working on trigonometry problems.

Calculator

Results

Sine N/A
Cosine N/A
Tangent N/A

Data Source and Methodology

Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da fonti autorevoli in matematica trigonometrica.

The Formula Explained

\[ \sin(\theta) = \text{opposite} / \text{hypotenuse} \] \[ \cos(\theta) = \text{adjacent} / \text{hypotenuse} \] \[ \tan(\theta) = \sin(\theta) / \cos(\theta) \]

Glossary of Terms

  • Angle: The measure in degrees for which trigonometric values are calculated.
  • Sine: Ratio of the opposite side to the hypotenuse in a right triangle.
  • Cosine: Ratio of the adjacent side to the hypotenuse in a right triangle.
  • Tangent: Ratio of the sine to the cosine.

Frequently Asked Questions (FAQ)

What is the unit circle?

The unit circle is a circle with a radius of one, centered at the origin of a coordinate plane.

How is the unit circle used in trigonometry?

The unit circle is used to define trigonometric functions for all real numbers.


Content reviewed by the a third-party calculator Team.

Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[\sin(\theta) = \text{opposite} / \text{hypotenuse}\]
\sin(\theta) = \text{opposite} / \text{hypotenuse}
Formula (extracted LaTeX)
\[\cos(\theta) = \text{adjacent} / \text{hypotenuse}\]
\cos(\theta) = \text{adjacent} / \text{hypotenuse}
Formula (extracted LaTeX)
\[\tan(\theta) = \sin(\theta) / \cos(\theta)\]
\tan(\theta) = \sin(\theta) / \cos(\theta)
Formula (extracted text)
\[ \sin(\theta) = \text{opposite} / \text{hypotenuse} \] \[ \cos(\theta) = \text{adjacent} / \text{hypotenuse} \] \[ \tan(\theta) = \sin(\theta) / \cos(\theta) \]
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
Formulas

(Formulas preserved from original page content, if present.)

Version 0.1.0-draft
Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).