Cosine Law Calculator
The cosine law, also known as the law of cosines, is a fundamental trigonometric principle used to solve triangles. Whether you’re a student …
Go to calculator →Are you struggling with triangle problems? Our Law of Cosines Calculator is here to help! Whether you’re a student, teacher, or professional, this tool simplifies complex trigonometry calculations. Let’s explore how it works and why it’s so useful.
Note: For accurate results and personal recommendations, please consult with a mathematics professional.
The Law of Cosines is a fundamental trigonometric equation that relates the lengths of the sides of a triangle to the cosine of one of its angles. It’s especially useful when dealing with non-right triangles where the Pythagorean theorem doesn’t apply.
The formula is:
c² = a² + b² - 2ab * cos(C)
Where:
Our calculator makes it easy to solve triangle problems:
It’s that simple!
The Law of Cosines is particularly useful in these scenarios:
Let’s say you have a triangle with:
To find side c:
c² = 5² + 7² - 2(5)(7) * cos(60°) c ≈ 5.39 units
Given a triangle with:
To find angle C:
cos(C) = (a² + b² - c²) / (2ab) C ≈ 75.52°
The Law of Cosines has numerous practical applications:
The Law of Cosines is a powerful tool in trigonometry, and our calculator makes it accessible to everyone. Whether you’re tackling homework, solving real-world problems, or just curious about triangles, give our Law of Cosines Calculator a try. It’s free, fast, and incredibly useful!
Ready to solve your triangle problems? Use our Law of Cosines Calculator now and experience the ease of trigonometry calculations!
Yes, but the Pythagorean theorem is usually simpler for right triangles.
The Law of Cosines is used when you have SAS or SSS, while the Law of Sines is used for AAS, ASA, or SSA triangles.
Our calculator provides results to several decimal places, ensuring high accuracy for most practical applications.
Absolutely! It's a great tool for checking your work or understanding the process. Remember to show your steps if required.
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