law of sines
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+2
Standards-aligned
Wayground Content
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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 the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides and angles in the triangle. 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 angle?
Back
To find an unknown angle using the Law of Sines, rearrange the formula to isolate the sine of the angle: sin(A) = (a * sin(B)) / b, then use the inverse sine function to find the angle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a triangle according to the Law of Sines?
Back
The Law of Sines establishes a relationship where the ratio of each side length to the sine of its opposite angle is equal, allowing for the calculation of unknown angles or sides.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
FLASHCARD QUESTION
Front
What is the formula for the Law of Sines?
Back
The formula for the Law of Sines is: (a/sin(A)) = (b/sin(B)) = (c/sin(C)).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FLASHCARD QUESTION
Front
How can the Law of Sines be applied in real-world problems?
Back
The Law of Sines can be applied in various real-world problems such as navigation, architecture, and engineering, where determining unknown distances or angles is necessary.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
FLASHCARD QUESTION
Front
What is the significance of the angle opposite the longest side in a triangle?
Back
In a triangle, the angle opposite the longest side is the largest angle, and this relationship is crucial when applying the Law of Sines.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
How do you find the length of a side using the Law of Sines?
Back
To find the length of a side using the Law of Sines, rearrange the formula to isolate the side: a = (b * sin(A)) / sin(B).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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