Ambiguous case, law of sines, two triangles

The video tutorial guides students through creating and solving an oblique triangle using the sine rule. It covers calculating angles B and C, and side length C, while emphasizing the importance of using exact values in calculations. The tutorial also explores the possibility of a second triangle (case 2) and demonstrates how to calculate new angles and sides for this scenario.

What type of triangle is being created in the initial setup?

• Oblique triangle

• Equilateral triangle

• Isosceles triangle

• Right triangle

Which trigonometric rule is used to solve for angle B?

• Cosine rule

• Tangent rule

• Sine rule

• Pythagorean theorem

Why is it important to store the calculated value of angle B?

• To avoid using rounded values in further calculations

• To save time in future calculations

• To compare with other angles

• To ensure the calculator does not reset

What is the approximate value of angle C after calculation?

• 180 degrees

• 72.74 degrees

• 64 degrees

• 43.26 degrees

What is the significance of the ambiguous case in trigonometry?

• It allows for multiple solutions for a given problem

• It simplifies the calculation process

• It is used only in right triangles

• It ensures only one solution is possible

How is the second possible angle for B calculated?

• By adding 180 degrees to the first angle

• By doubling the first angle

• By dividing the first angle by 2

• By subtracting the first angle from 180 degrees

What is the new angle C in the second triangle?

• 8.74 degrees

• 107.26 degrees

• 180 degrees

• 64 degrees

Why is it recommended to fill in the answers into another triangle diagram?

• To visualize the problem better

• To ensure the calculator is accurate

• To avoid confusion with numbers

• To make the problem easier

What is the final calculated side length C in the second triangle?

• 64

• 17

• 16

• 2.70

What is the key takeaway regarding the use of rounded answers in calculations?

• Rounded answers should be used for all calculations

• Exact values should be used in calculations, rounded answers only for final results

• Exact values are unnecessary

• Rounded answers are more accurate