To use the Cosine Law to solve for an unknown angle you must know

To use the Cosine Law (also known as the Law of Cosines) to solve for an unknown angle in a triangle, you must know the lengths of all three sides of the triangle. The formula for the Cosine Law when solving for an angle \( C \) is:

\[
\cos(C) = \frac{a^2 + b^2 - c^2}{2ab}
\]

Where:
- \( a \), \( b \), and \( c \) are the lengths of the sides of the triangle,
- \( C \) is the angle opposite side \( c \).

### Do you want details or have any questions?

Here are 5 related questions to explore:
1. How do you derive the Cosine Law from the Pythagorean Theorem?
2. Can the Cosine Law be used to solve for side lengths in a triangle? How?
3. How does the Cosine Law simplify when solving for right triangles?
4. What is the relationship between the Cosine Law and the Sine Law?
5. How can you determine the type of triangle using the Cosine Law?

**Tip:** When using the Cosine Law, double-check your calculations, especially when dealing with inverse trigonometric functions to find angles.

Learn how to use the Cosine Law (Law of Cosines) to solve for an unknown angle in a triangle. Understand the formula \( \cos(C) = \frac{a^2 + b^2 - c^2}{2ab} \) and its application with detailed examples. Suitable for students in Grades 10-12 studying trigonometry.

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