Law of Sines and Cosines Applications

The video introduces the laws of sine and cosine, explaining their applications in solving triangle problems. It covers the differences between the laws, when to use each, and explores congruence theorems. The video includes examples of solving triangles using these laws, highlighting common patterns and potential errors.

What are the main topics covered in this video?

• Calculus and its real-world applications

• Trigonometric identities and their proofs

• Pythagorean Theorem and its applications

• Law of Sines, Law of Cosines, and ambiguous case for Law of Sines

When should you apply the Law of Sines?

• When you have a side and the angle opposite to it

• When you have all three sides

• When you have two angles and the included side

• When you have two sides and the included angle

What is the first step in solving an oblique triangle using the Law of Sines?

• Identify the right angle

• Calculate the area of the triangle

• Determine if you have a side and its opposite angle

• Find the longest side

What is the Law of Cosines used for?

• Finding the area of a triangle

• Solving triangles with three sides or two sides and an included angle

• Calculating the perimeter of a triangle

• Determining the type of triangle

Which congruence theorem is not applicable when using the Law of Sines?

• Side-Angle-Side

• Angle-Side-Angle

• Side-Angle-Side

• Side-Side-Side

What is a limitation of the Law of Sines when finding angles?

• It cannot be used for right triangles

• It requires all three sides

• It can only find acute angles

• It only works for isosceles triangles