What is the Law of Sines?
Law of Sines & Cosines

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•
Mathematics
•
9th - 12th 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 the angle opposite that side is constant for all three sides and angles in the triangle.
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 used to find a side or angle in a triangle when the Law of Sines cannot be applied.
3.
FLASHCARD QUESTION
Front
When do you use the Law of Sines?
Back
Use the Law of Sines when you have either two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).
4.
FLASHCARD QUESTION
Front
When do you use the Law of Cosines?
Back
Use the Law of Cosines when you have two sides and the included angle (SAS) or all three sides (SSS) of a triangle.
5.
FLASHCARD QUESTION
Front
What is the formula for the Law of Sines?
Back
The formula is: (a/sin(A)) = (b/sin(B)) = (c/sin(C)), where a, b, and c are the lengths of the sides and A, B, and C are the angles.
6.
FLASHCARD QUESTION
Front
What is the formula for the Law of Cosines?
Back
The formula is: c² = a² + b² - 2ab * cos(C), where a, b, and c are the lengths of the sides and C is the angle opposite side c.
7.
FLASHCARD QUESTION
Front
How do you find an angle using the Law of Sines?
Back
To find an angle, rearrange the Law of Sines formula to isolate the sine of the angle, then use the inverse sine function.
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