What is the Law of Sines?
Law of Sine and Law of Cosine

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Mathematics
•
10th 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. It can be expressed as: a/sin(A) = b/sin(B) = c/sin(C).
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).
3.
FLASHCARD QUESTION
Front
How do you find an unknown side using the Law of Sines?
Back
To find an unknown side using the Law of Sines, you can use the formula: a/sin(A) = b/sin(B), where 'a' and 'b' are the sides opposite angles A and B, respectively.
4.
FLASHCARD QUESTION
Front
How do you find an unknown angle using the Law of Sines?
Back
To find an unknown angle using the Law of Sines, rearrange the formula: sin(A)/a = sin(B)/b, and solve for the angle using the inverse sine function.
5.
FLASHCARD QUESTION
Front
What is the relationship between the sides and angles in a triangle?
Back
In any triangle, the larger the angle, the longer the side opposite that angle. Conversely, the smaller the angle, the shorter the side opposite it.
6.
FLASHCARD QUESTION
Front
When is it appropriate to use the Law of Cosines?
Back
The Law of Cosines is appropriate to use when you know two sides and the included angle (SAS) or all three sides (SSS) of a triangle.
7.
FLASHCARD QUESTION
Front
What is the formula for finding the area of a triangle using the Law of Sines?
Back
The area of a triangle can be found using the formula: Area = (1/2) * a * b * sin(C), where 'a' and 'b' are two sides and 'C' is the included angle.
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