Law of sines Ambiguous case two solutions

The video tutorial covers solving a trigonometry problem using the law of sines. It begins with setting up a triangle and solving for angle C. The instructor explains the possibility of multiple solutions due to the properties of sine and explores different cases for the triangle's angles. The session concludes with verifying the solutions and ensuring understanding of the concepts.

What is the initial angle given for angle A in the problem setup?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Which trigonometric law is used to find angle C?

• Law of Cosines

• Law of Sines

• Pythagorean Theorem

• Law of Tangents

What is the calculated value of angle C using the inverse sine function?

• 74.21 degrees

• 60 degrees

• 105.79 degrees

• 90 degrees

Why can there be two possible solutions for angle C?

• Due to the properties of the cosine function

• Because the triangle is equilateral

• Due to the properties of the unit circle

• Because the triangle is isosceles

What are the two possible values for angle C?

• 30 and 150 degrees

• 45 and 135 degrees

• 74.21 and 105.79 degrees

• 60 and 120 degrees

In case number one, what is the calculated value for angle B?

• 90 degrees

• 74.21 degrees

• 60 degrees

• 45.79 degrees

In case number two, what is the calculated value for angle B?

• 45.79 degrees

• 14.21 degrees

• 105.79 degrees

• 60 degrees

What method is used to solve for side B in both cases?

• Law of Cosines

• Law of Sines

• Pythagorean Theorem

• Law of Tangents

What is the calculated length of side B in case number one?

• 9.00

• 2.54

• 10.00

• 7.44

What is the calculated length of side B in case number two?

• 7.44

• 2.54

• 9.00

• 10.00