Using the law of sines to solve two cases of SSA

The video tutorial explores the concept of ambiguous cases in triangles, specifically focusing on side-side-angle (SSA) scenarios. It demonstrates how to calculate angle B using trigonometric ratios and discusses the implications of reference angles. The tutorial further analyzes different cases, showing how to set up and solve equations to find possible solutions for triangles. The key takeaway is understanding how to handle ambiguous cases and determine the number of possible solutions.

What are the given angles and sides of the triangle discussed in the text?

Explain the ambiguous case when dealing with side-side-angle in triangles.

How do you calculate the sine of angle B using the given values?

What are the two possible values for angle B derived from the calculations?

What is the significance of reference angles in this context?

Describe how to find angle C when angle B is known.

How do the two cases of triangle solutions differ in terms of angles?

What are the final values for angle C in both cases?

What calculations are performed to determine the lengths of sides in both cases?

Summarize the process of determining the possible solutions for the triangle.