Using law of sines with no solution Ambiguous case

The video tutorial guides students through constructing a triangle using given angles and sides, applying the law of sines to solve for unknowns. It highlights a calculation error when the sine value exceeds its domain, leading to the conclusion that the triangle is not possible. The tutorial emphasizes understanding the domain and range of trigonometric functions and the implications of errors in calculations.

What is the angle A in the triangle setup described?

• 75 degrees

• 60 degrees

• 90 degrees

• 85 degrees

Which law is applied to solve the triangle problem?

• Law of Cosines

• Law of Sines

• Pythagorean Theorem

• Law of Tangents

What is the calculated sine of angle B?

• 1.0

• 0.5

• 1.6603

• 0.866

Why is it impossible to find angle B in this triangle?

• The sine value is greater than 1

• The triangle is not a right triangle

• The sine value is less than -1

• The angle is more than 180 degrees

What does the calculator display when trying to find the inverse sine of 1.66?

• Correct value

• Error

• Infinity

• Zero