Identifying Sin Graphs

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the sine function?
Back
The sine function, denoted as sin(x), is a mathematical function that relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse.
Tags
CCSS.HSF.TF.A.2
2.
FLASHCARD QUESTION
Front
What is the range of the sine function?
Back
The range of the sine function is from -1 to 1.
Tags
CCSS.HSF.TF.A.4
3.
FLASHCARD QUESTION
Front
What is the period of the sine function?
Back
The period of the sine function is 2π, meaning it repeats every 2π radians.
Tags
CCSS.HSF.TF.A.4
4.
FLASHCARD QUESTION
Front
How does the sine graph look like?
Back
The sine graph is a smooth, continuous wave that oscillates between -1 and 1, starting at (0,0) and moving up to (π/2, 1), down to (π, 0), down to (3π/2, -1), and back to (2π, 0).
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What is the amplitude of the sine function?
Back
The amplitude of the sine function is the maximum distance from the midline to the peak, which is 1 for the standard sine function.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the midline of the sine graph?
Back
The midline of the sine graph is the horizontal line that runs through the middle of the wave, which is y=0 for the standard sine function.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What transformations can be applied to the sine graph?
Back
Transformations include vertical shifts, horizontal shifts, reflections, and changes in amplitude and period.
Tags
CCSS.HSF-IF.C.7E
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