Sine Rule

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Sine Rule?
Back
The Sine Rule states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. It can be expressed as: a/sin(A) = b/sin(B) = c/sin(C).
2.
FLASHCARD QUESTION
Front
How do you find a missing side using the Sine Rule?
Back
To find a missing side, rearrange the Sine Rule formula: a = b * (sin(A) / sin(B)), where A and B are the angles opposite to sides a and b respectively.
3.
FLASHCARD QUESTION
Front
How do you find a missing angle using the Sine Rule?
Back
To find a missing angle, rearrange the Sine Rule: sin(A) = a * (sin(B) / b), then use the inverse sine function to find angle A.
4.
FLASHCARD QUESTION
Front
What is the relationship between angles and sides in a triangle according to the Sine Rule?
Back
The Sine Rule shows that larger angles are opposite longer sides, and smaller angles are opposite shorter sides.
5.
FLASHCARD QUESTION
Front
If a triangle has sides a = 6, b = 8, and angle A = 30 degrees, how do you find angle B?
Back
Use the Sine Rule: sin(B) = (b * sin(A)) / a. Calculate B using the inverse sine function.
6.
FLASHCARD QUESTION
Front
What is the significance of the Sine Rule in real-world applications?
Back
The Sine Rule is used in various fields such as engineering, architecture, and navigation to solve problems involving triangles.
7.
FLASHCARD QUESTION
Front
What is the formula for the Sine Rule?
Back
The formula for the Sine Rule is: a/sin(A) = b/sin(B) = c/sin(C).
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