What is the Law of Sines?
Law of Sines

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides: Sin(A)/a = Sin(B)/b = Sin(C)/c.
2.
FLASHCARD QUESTION
Front
What does sin-1(1/2) equal?
Back
30 degrees.
3.
FLASHCARD QUESTION
Front
How do you find an unknown angle using the Law of Sines?
Back
Use the formula: Sin(A)/a = Sin(B)/b, rearranging to find the angle A: A = sin-1((b * Sin(B))/a).
4.
FLASHCARD QUESTION
Front
What is the relationship between angles and sides in a triangle according to the Law of Sines?
Back
The larger the angle, the longer the opposite side; the smaller the angle, the shorter the opposite side.
5.
FLASHCARD QUESTION
Front
If a triangle has angles A, B, and C, what is the sum of these angles?
Back
The sum of angles A, B, and C in any triangle is always 180 degrees.
6.
FLASHCARD QUESTION
Front
What is the sine of 60 degrees?
Back
The sine of 60 degrees is √3/2.
7.
FLASHCARD QUESTION
Front
How can you use the Law of Sines to find a side length?
Back
Rearrange the Law of Sines: a = (Sin(A) * b) / Sin(B).
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