Law of Sines & Cosines
Flashcard
•
Mathematics
•
9th - 12th 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 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 of 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
What is the Law of Cosines?
Back
The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. It is expressed as: c² = a² + b² - 2ab*cos(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
When do you use the Law of Sines?
Back
The Law of Sines is used when you have either two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
FLASHCARD QUESTION
Front
When do you use the Law of Cosines?
Back
The Law of Cosines is used when you have either two sides and the included angle (SAS) or all three sides (SSS) of a triangle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FLASHCARD QUESTION
Front
What is the formula for the Law of Cosines?
Back
c² = a² + b² - 2ab*cos(C).
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
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: a = b*sin(A)/sin(B).
Tags
CCSS.HSG.SRT.D.11
CCSS.HSG.SRT.D.10
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a triangle?
Back
In a triangle, the larger the angle, the longer the opposite side. This relationship is fundamental in both the Law of Sines and the Law of Cosines.
Tags
CCSS.HSG.CO.C.10
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