Fall 2024 Final
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
Student preview
15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to find the height reached by a ladder leaning against a wall?
Back
Height = Ladder Length * sin(Angle with the ground)
2.
FLASHCARD QUESTION
Front
What is the value of csc(θ) if the terminal side of θ contains the point (x, y)?
Back
csc(θ) = \frac{r}{y}, where r = \sqrt{x^2 + y^2}
3.
FLASHCARD QUESTION
Front
How do you simplify the expression sin(x)cos^2(x) - sin(x)?
Back
Factor out sin(x): sin(x)(cos^2(x) - 1) = -sin^3(x)
4.
FLASHCARD QUESTION
Front
What is the amplitude and period of the function y = -3sin(\frac{5\pi}{4}x)?
Back
Amplitude = 3, Period = \frac{8}{5}
5.
FLASHCARD QUESTION
Front
How do you find a negative coterminal angle for an angle in radians?
Back
Subtract 2π from the angle until it is negative.
6.
FLASHCARD QUESTION
Front
What is the relationship between sine and cosine in a right triangle?
Back
sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse.
7.
FLASHCARD QUESTION
Front
What is the Pythagorean identity involving sine and cosine?
Back
sin^2(θ) + cos^2(θ) = 1.
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