Law of Sines & Cosines
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+3
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 and angles in the triangle.
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 used to find a side when two sides and the included angle are known.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
FLASHCARD QUESTION
Front
What are the trigonometric ratios?
Back
The trigonometric ratios are relationships between the angles and sides of a right triangle: Sine (sin), Cosine (cos), and Tangent (tan). They can be remembered using 'Soh Cah Toa'.
Tags
CCSS.HSG.SRT.C.6
4.
FLASHCARD QUESTION
Front
How do you remember the trigonometric ratios?
Back
You can remember the trigonometric ratios using the mnemonic 'Soh Cah Toa': Soh = Sin = Opposite/Hypotenuse, Cah = Cos = Adjacent/Hypotenuse, Toa = Tan = Opposite/Adjacent.
Tags
CCSS.HSG.SRT.C.6
5.
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)), where a, b, and c are the sides of the triangle and A, B, and C are the angles opposite those sides.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
FLASHCARD QUESTION
Front
What is the formula for the Law of Cosines?
Back
The formula for the Law of Cosines is: c² = a² + b² - 2ab*cos(C), where c is the side opposite angle C, and a and b are the other two sides.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
FLASHCARD QUESTION
Front
When do you use the Law of Sines?
Back
You 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) in a triangle.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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