Sine and Cosine Graphs

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•
Mathematics
•
11th Grade
•
Hard
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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 periodic function that describes the y-coordinate of a point on the unit circle as it rotates around the origin. It has a range of [-1, 1] and a period of 2π.
2.
FLASHCARD QUESTION
Front
What is the cosine function?
Back
The cosine function, denoted as cos(x), is a periodic function that describes the x-coordinate of a point on the unit circle as it rotates around the origin. It has a range of [-1, 1] and a period of 2π.
3.
FLASHCARD QUESTION
Front
What is the general form of a sine function?
Back
The general form of a sine function is y = A sin(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.
4.
FLASHCARD QUESTION
Front
What is the general form of a cosine function?
Back
The general form of a cosine function is y = A cos(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.
5.
FLASHCARD QUESTION
Front
How do you determine the amplitude of a sine or cosine function?
Back
The amplitude of a sine or cosine function is the absolute value of A in the general form y = A sin(Bx + C) + D or y = A cos(Bx + C) + D. It represents the maximum distance from the midline.
6.
FLASHCARD QUESTION
Front
What is the period of the sine and cosine functions?
Back
The period of the sine and cosine functions is calculated as 2π/B, where B is the coefficient of x in the function's equation.
7.
FLASHCARD QUESTION
Front
What is the phase shift in a sine or cosine function?
Back
The phase shift is determined by the value of C in the general form y = A sin(Bx + C) + D or y = A cos(Bx + C) + D. It represents the horizontal shift of the graph.
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