What is the Law of Sines?
MATH 4 - Final Exam Review #9

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Mathematics
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10th - 12th Grade
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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. Formula: 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 used to find a side or angle in a triangle when the Law of Sines cannot be applied. Formula: c² = a² + b² - 2ab*cos(C).
3.
FLASHCARD QUESTION
Front
How do you find the distance to an object using angles of elevation?
Back
To find the distance to an object using angles of elevation, you can use trigonometric ratios (like tangent) or the Law of Sines, depending on the information given.
4.
FLASHCARD QUESTION
Front
What is the formula for tangent in a right triangle?
Back
Tangent (tan) is defined as the ratio of the opposite side to the adjacent side. Formula: tan(θ) = opposite/adjacent.
5.
FLASHCARD QUESTION
Front
What is the formula for secant in trigonometry?
Back
Secant (sec) is the reciprocal of cosine. Formula: sec(θ) = 1/cos(θ).
6.
FLASHCARD QUESTION
Front
What is the formula for cosecant in trigonometry?
Back
Cosecant (csc) is the reciprocal of sine. Formula: csc(θ) = 1/sin(θ).
7.
FLASHCARD QUESTION
Front
What is the formula for cotangent in trigonometry?
Back
Cotangent (cot) is the reciprocal of tangent. Formula: cot(θ) = 1/tan(θ) = adjacent/opposite.
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