1. What Is The Cosine Law?

The Cosine Law, also known as the Law of Cosines, relates the lengths of the sides of a triangle to the cosine of one of its angles. It is used to find an angle when all three sides are known.

2. How Does The Calculator Work?

The calculator uses the Cosine Law formula:

Where:

• \( a, b, c \) — Sides of the triangle (m)
• The angle is opposite to side \( a \)

Explanation: The formula calculates the angle using the inverse cosine function based on the relationship between the sides of the triangle.

3. Importance Of Angle Calculation

Details: Calculating angles in triangles is fundamental in geometry, trigonometry, and various practical applications such as construction, navigation, and engineering.

4. Using The Calculator

Tips: Enter the lengths of all three sides of the triangle in meters. All values must be positive and form a valid triangle.

5. Frequently Asked Questions (FAQ)

Q1: What if the sides do not form a valid triangle?
A: The calculator will display an error message if the sides do not satisfy the triangle inequality theorem.

Q2: Can this calculator find angles in any triangle?
A: Yes, the Cosine Law applies to all types of triangles: acute, obtuse, and right triangles.

Q3: What units are used for the sides?
A: The calculator uses meters, but any consistent unit can be used as long as all sides are in the same unit.

Q4: How accurate is the result?
A: The result is accurate to two decimal places, provided the input values are precise.

Q5: Can I use this for non-triangle shapes?
A: No, the Cosine Law is specifically for triangles. Other methods are needed for different shapes.