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Law of Cosines Mind Map for Trig Study

This example map covers the formula, the three sides and angle cases, and common problems. Turn your own notes or PDF into a map in minutes.

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What you get
Interactive mind maps of the main ideas and how they connect. Free: overview maps (detailed maps on your first 3 creations). Plus: detailed maps with supporting concepts.
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Your first PDF or PNG export is free; Plus exports anytime.
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Free plan: 5 creations a week, up to 3 a day. Plus: $9.99/month or $99.90/year (USD; local prices at checkout).
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What you can upload
PDF, Word (.docx), PowerPoint (.pptx), plain text or Markdown, and images (PNG, JPG, WebP, GIF), or type a topic. One file per creation on the free plan; several at once on Plus.

How it compares: vs Knowt · vs Quizlet · vs NotebookLM · vs Mapify

Build a Law of Cosines Map From Your Notes

Start from your textbook, lecture slides or a typed topic, and get a map you can expand and test yourself on.

Use your own material

Upload a PDF, slides or notes on the law of cosines and the map is built from your course content.

See how the formula fits

Branches separate the formula, when to use it, and how it differs from the law of sines.

Test yourself next

Turn the finished map into a quiz, make flashcards from the same notes, or export it as a PNG or PDF.

How to Make a Law of Cosines Mind Map

Three steps take you from your lesson material to a map you can study from.

  1. 1

    Add your material

    Upload a PDF, Word or PowerPoint file, a text file, an image, or type the topic.

  2. 2

    AI builds the map

    The formula, the side and angle cases, and worked examples become connected branches.

  3. 3

    Study and expand

    Expand any node, edit the text, then quiz yourself or export the map to share.

Law of Cosines Concept Map: Structure and Uses

The law of cosines relates the three sides of any triangle to one of its angles. It generalizes the Pythagorean theorem to non-right triangles. A law of cosines mind map usually divides into the formula, the cases where it applies, and the steps for solving a triangle.

  • Formula: c² = a² + b² − 2ab cos C, and its two rearranged forms
  • SAS case: two sides and the included angle, to find the third side
  • SSS case: three sides, to find an angle
  • Relation to the Pythagorean theorem: when C is 90°, the cosine term vanishes
  • Solving steps: label the triangle, choose the formula, then check the result

Use the map to revise the formula and its cases before a test. Generate your own version from class notes with CogniGuide to match your syllabus.

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Law of Cosines Mind Map: Common Questions

Answers on the law of cosines and on making your own map.

When should you use the law of cosines?

Use it when you know two sides and the included angle (SAS), or all three sides (SSS), and need a missing side or angle in a non-right triangle.

How is the law of cosines different from the law of sines?

The law of sines relates sides to their opposite angles. The law of cosines is needed when you have SAS or SSS data, where the law of sines cannot be applied directly.

Which files can I use to build my map?

You can upload a PDF, Word or PowerPoint file, a text or Markdown file, or an image, or simply type the topic.

Can I turn my law of cosines map into a quiz?

Yes. Any map can be turned into a quiz to test yourself, and the same notes can also become flashcards. There is a free plan with 5 creations a week.