Sin and Cos Graphs (identify)

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the sine function?
Back
The sine function, denoted as sin(x), is a trigonometric function that represents the ratio of the length of the opposite side to the hypotenuse in a right triangle.
2.
FLASHCARD QUESTION
Front
What is the cosine function?
Back
The cosine function, denoted as cos(x), is a trigonometric function that represents the ratio of the length of the adjacent side to the hypotenuse in a right triangle.
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 identify a sine function from its equation?
Back
A sine function will have 'sin' in its equation, such as y = sin(x) or y = 2sin(2x).
6.
FLASHCARD QUESTION
Front
How do you identify a cosine function from its equation?
Back
A cosine function will have 'cos' in its equation, such as y = cos(x) or y = 3cos(x).
7.
FLASHCARD QUESTION
Front
What is amplitude in sine and cosine functions?
Back
Amplitude is the maximum distance from the midline of the graph to the peak or trough. It is represented by the coefficient A in the equations.
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