Understanding the Law of Sines

This video tutorial explains the Law of Sines and demonstrates how to use it to solve triangles when given two angles and a side. It covers the basic formula, provides examples with step-by-step calculations, and emphasizes the importance of using degree mode on calculators. The tutorial includes two examples: one with a side outside the angles and another with an included side.

What is the Law of Sines used for?

• Determining the type of triangle

• Finding the perimeter of a triangle

• Solving for unknown parts of a triangle

• Calculating the area of a triangle

In the Law of Sines, what does the formula relate?

• Perimeter to area

• Angles to sides

• Sides to sides

• Angles to angles

What should you ensure about your calculator when using the Law of Sines?

• It is in basic mode

• It is in scientific mode

• It is in radian mode

• It is in degree mode

When given two angles and a non-included side, what is the first step in solving the triangle?

• Determine the type of triangle

• Calculate the area

• Find the missing angle

• Find the missing side

In the example with two angles and a non-included side, what was the calculated value of angle A?

• 55 degrees

• 43 degrees

• 49 degrees

• 31 degrees

What is the next step after finding the missing angle in a triangle problem?

• Calculate the area

• Check the calculator mode

• Find the missing sides

• Determine the type of triangle

In the example with two angles and the included side, what was the calculated value of angle C?

• 49 degrees

• 43 degrees

• 39 degrees

• 98 degrees

What is the final step in solving a triangle using the Law of Sines?

• Find all missing parts

• Verify the triangle type

• Calculate the perimeter

• Check the calculator mode

In the practice problem, which parts of the triangle are you required to find?

• Only the perimeter

• Only the angles

• Only the sides

• All missing parts

What is the key concept to remember when using the Law of Sines?

• Angles always add up to 90 degrees

• Sides are always equal

• Angles always add up to 180 degrees

• Sides are always proportional