Law of Sines
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Law of Sines?
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).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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 solve for the side: a = b * (sin(A) / sin(B)).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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 solve for the angle: A = sin^(-1)(a * (sin(B) / b)).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
FLASHCARD QUESTION
Front
What is the relationship between angles and sides in a triangle according to the Law of Sines?
Back
The Law of Sines shows that larger angles are opposite longer sides, and smaller angles are opposite shorter sides.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FLASHCARD QUESTION
Front
If a triangle has sides a = 10, b = 15, and angle A = 30 degrees, how can you find angle B?
Back
Use the Law of Sines: sin(B) = (b * sin(A)) / a. Calculate B using the inverse sine function.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
FLASHCARD QUESTION
Front
What is the significance of the Law of Sines in solving triangles?
Back
The Law of Sines is significant because it allows for the calculation of unknown sides and angles in non-right triangles.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
What type of triangles can the Law of Sines be applied to?
Back
The Law of Sines can be applied to any triangle, including acute, obtuse, and right triangles.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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