Blanpied precal midterm 2024 b
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to find the area of a triangle using SAS (Side-Angle-Side)?
Back
The area A of a triangle can be calculated using the formula: A = (1/2) * a * b * sin(C), where a and b are the lengths of the two sides and C is the included angle.
2.
FLASHCARD QUESTION
Front
How do you find the smallest angle in a triangle given the lengths of all three sides?
Back
Use the Law of Cosines: cos(C) = (a^2 + b^2 - c^2) / (2ab). Solve for angle C, and the smallest angle will be the one corresponding to the smallest side.
3.
FLASHCARD QUESTION
Front
What is the range of the sine function?
Back
The range of the sine function is [-1, 1]. This means that the output of the sine function will always be between -1 and 1.
4.
FLASHCARD QUESTION
Front
What is the sine of 3π/2?
Back
The sine of 3π/2 is -1.
5.
FLASHCARD QUESTION
Front
What is the sine of 7π/6?
Back
The sine of 7π/6 is -1/2.
6.
FLASHCARD QUESTION
Front
What is the general solution for the equation sin(θ) = k?
Back
The general solutions are θ = arcsin(k) + 2nπ and θ = π - arcsin(k) + 2nπ, where n is any integer.
7.
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: (a/sin(A)) = (b/sin(B)) = (c/sin(C)).
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