Law Of Cosines Calculator
Solve c² = a² + b² − 2ab·cos C step by step — free law of cosines calculator with worked examples, real-world defaults and instant answers.
Law of cosines — third side from two sides + included angle, or an angle from three sides (SSS).
About Law Of Cosines Calculator
The Law Of Cosines Calculator solves c² = a² + b² − 2ab·cos C for you with the full working shown — every substitution, every unit, every step, exactly the way a good teacher writes it on the board. Set C = 90° and cos C vanishes — the law of cosines collapses to Pythagoras, which is why it's called the generalized Pythagorean theorem.
How to use Law Of Cosines Calculator
- 1Enter your known values in the input fields (sensible real-world defaults are pre-filled).
- 2The tool substitutes them into c² = a² + b² − 2ab·cos C and recomputes live.
- 3Read the answer in the result box, then expand the step-by-step solution to see the full working.
- 4Copy the method into your notebook, or change inputs to explore how the result behaves.
Why use Law Of Cosines Calculator?
- ✓Solves c² = a² + b² − 2ab·cos C instantly as you type — no submit button, no waiting
- ✓Step-by-step solution shown for every calculation, not just the final answer
- ✓Realistic example values pre-loaded so you can see a worked example immediately
- ✓100% free, no sign-up, runs entirely in your browser — your numbers never leave your device
- ✓Mobile-friendly and fast enough to use mid-homework or mid-lesson
Frequently asked questions
What formula does the Law Of Cosines Calculator use?+
It uses c² = a² + b² − 2ab·cos C. The steps section shows the formula with your actual numbers substituted, so you can follow (and verify) every stage of the calculation rather than trusting a black box.
What should I keep in mind when using this calculator?+
Set C = 90° and cos C vanishes — the law of cosines collapses to Pythagoras, which is why it's called the generalized Pythagorean theorem. SSS and SAS are its two textbook uses; for AAS/ASA reach for the law of sines instead.
Is the Law Of Cosines Calculator free to use?+
Completely free, with no sign-up or limits. All computation happens client-side in your browser, so it is fast, private, and works even on slow connections once the page has loaded.
Can I use this for homework, teaching or exam prep?+
That is exactly what it is built for. The step-by-step working mirrors how solutions are presented in class, so you can check homework, build worked examples for teaching, or practise method recall before exams.
Embed Law Of Cosines Calculator on your website
Want Law Of Cosines Calculatoron your own site? Paste this snippet into any HTML page — it's free, with no API key or sign-up. The tool loads in an iframe and keeps working exactly as it does here.
<iframe src="https://tooljolt.com/tools/law-of-cosines-calculator" width="100%" height="640" style="border:1px solid #e5e7eb;border-radius:12px;max-width:680px" title="Law Of Cosines Calculator — ToolJolt" loading="lazy"></iframe>Related Science tools
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