
HW: Dec 12 Law of Sines
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•
Mathematics
•
9th Grade
•
Hard
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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 its opposite angle is constant for all three sides and angles in the triangle.
2.
FLASHCARD QUESTION
Front
How do you use the Law of Sines to find a missing side?
Back
To find a missing side, set up the ratio of the known side to the sine of its opposite angle equal to the unknown side over the sine of its opposite angle.
3.
FLASHCARD QUESTION
Front
If a triangle has sides a, b, and c, and angles A, B, and C, what is the formula for the Law of Sines?
Back
The formula is: (a/sin(A)) = (b/sin(B)) = (c/sin(C)).
4.
FLASHCARD QUESTION
Front
What is the sine of an angle in a right triangle?
Back
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.
5.
FLASHCARD QUESTION
Front
How can you find an angle using the Law of Sines?
Back
To find an angle, rearrange the Law of Sines formula to solve for the sine of the angle, then use the inverse sine function.
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a triangle according to the Law of Sines?
Back
The larger the angle, the longer the opposite side; the smaller the angle, the shorter the opposite side.
7.
FLASHCARD QUESTION
Front
If angle A is 30 degrees and side a is 10, what is the sine of angle A?
Back
sin(30 degrees) = 0.5.
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