What is the Law of Sines?
Law of Sines

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•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
The Law of Sines 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 use the Law of Sines to find an unknown side?
Back
To find an unknown side using the Law of Sines, rearrange the formula to isolate the side: a = (b * sin(A)) / sin(B).
3.
FLASHCARD QUESTION
Front
How do you use the Law of Sines to find an unknown angle?
Back
To find an unknown angle using the Law of Sines, rearrange the formula to isolate the angle: A = sin^(-1)((a * sin(B)) / b).
4.
FLASHCARD QUESTION
Front
What is the relationship between angles and sides in the Law of Sines?
Back
The Law of Sines shows that larger angles are opposite longer sides, and smaller angles are opposite shorter sides.
5.
FLASHCARD QUESTION
Front
Given a triangle with sides a=10, b=15, and angle A=30°, find angle B.
Back
Using the Law of Sines: B = sin^(-1)((b * sin(A)) / a) = sin^(-1)((15 * sin(30°)) / 10) = 39°.
6.
FLASHCARD QUESTION
Front
What is the significance of the sine function in the Law of Sines?
Back
The sine function relates the angles of a triangle to the ratios of the lengths of its sides, allowing for the calculation of unknown values.
7.
FLASHCARD QUESTION
Front
If angle A = 50° and angle B = 60°, what is angle C in a triangle?
Back
Angle C can be found using the triangle sum property: C = 180° - A - B = 70°.
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