Graphs of Trigonometric Functions

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•
Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the equation of the graph for a cosine function with an amplitude of 6?
Back
y = 6 cos x
2.
FLASHCARD QUESTION
Front
What is the period of the function y = sin(kx) where k = 1/3?
Back
The period is 6π.
3.
FLASHCARD QUESTION
Front
What is the definition of secant function?
Back
The secant function, sec(x), is defined as the reciprocal of the cosine function: sec(x) = 1/cos(x).
4.
FLASHCARD QUESTION
Front
Identify the function graphed if it is shifted vertically by 2 units and is a cosecant function.
Back
y = 2csc(x) + 2
5.
FLASHCARD QUESTION
Front
What is the amplitude of the function y = -9sin(2x + 3π/2) + 5?
Back
The amplitude is 9.
6.
FLASHCARD QUESTION
Front
What is the general form of a sine function?
Back
The general form 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.
7.
FLASHCARD QUESTION
Front
How do you determine the period of a trigonometric function?
Back
The period of a function y = sin(Bx) or y = cos(Bx) is given by the formula: Period = 2π/|B|.
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