Solving SSA with law of sines and no solution

The video tutorial explains how to construct a triangle when given certain information, focusing on the side-side-angle case, known as the ambiguous case. It discusses the potential outcomes of having one solution, no solution, or two triangles. The tutorial demonstrates using the Law of Sines to solve for angles and explains why attempting to find the inverse sine of a value greater than one results in an error, indicating no triangle can be formed.

What type of triangle problem is being discussed in the first section?

• Angle-Side-Angle

• Side-Side-Angle

• Angle-Angle-Side

• Side-Angle-Side

What mathematical law is used to solve for the unknown angle in the triangle?

• Law of Cosines

• Pythagorean Theorem

• Law of Sines

• Law of Tangents

Why does the calculation for the angle B result in an error?

• The angle is too small.

• The triangle is not oblique.

• The sine value is greater than 1.

• The angle is already known.

What is the valid range for the sine function's output?

• -1 to 1

• -0.5 to 0.5

• -2 to 2

• 0 to 2

What happens when you try to find the inverse sine of a value outside its valid range?

• The calculator provides a warning.

• The calculator shows a random number.

• The calculator returns an error.

• The calculator gives a valid angle.