1. What is the Law of Sines and Cosines?

The Law of Sines and Cosines are fundamental relationships between the sides and angles of any triangle. They allow calculation of unknown elements when certain combinations of sides and angles are known.

2. How Does the Calculator Work?

The calculator uses two main formulas:

Where:

• \( a, b, c \) — Lengths of the sides
• \( A, B, C \) — Angles opposite the respective sides

Explanation: The Law of Sines relates sides to their opposite angles, while the Law of Cosines generalizes the Pythagorean theorem for any triangle.

3. Types of Triangle Problems Solved

Details: The calculator can solve:

• SSS (three sides known)
• SAS (two sides and included angle known)
• ASA (two angles and included side known)
• AAS (two angles and non-included side known)
• SSA (two sides and non-included angle known - may have two solutions)

4. Using the Calculator

Tips: Enter any three elements of the triangle (sides and/or angles). The calculator will determine the remaining elements. Angles should be in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Any consistent units for sides (cm, inches, etc.). Angles must be in degrees.

Q2: How accurate are the results?
A: Results are accurate to 2 decimal places for angles and sides.

Q3: What if I get "Not provided" for some results?
A: This means insufficient information was provided to calculate that element.

Q4: What about right triangles?
A: The calculator works for all triangles, including right triangles.

Q5: Why might there be two solutions?
A: In the SSA case (ambiguous case), there can sometimes be two valid triangles.