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Trigonometric Functions — Test Answers

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22
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Which of the following could be the equation of the function?

A
y is equal to 3 sine open paren 2 times open paren x plus pi close paren close paren plus 2
B
y is equal to negative 3 sine open paren 2 times open paren x plus pi close paren close paren plus 2
C
y is equal to negative 3 sine open paren x plus pi close paren plus 2
D
y is equal to 3 sine open paren 4 times open paren x minus pi close paren close paren plus 4
23
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Which of the following best explains the value of sine pi over 3 on the given unit circle?

A
sine pi over 3 is equal to opposite over hypotenuse is equal to opposite over 1 is equal to opposite The length opposite the angle is the vertical distance from the x -axis on the graph.
B
sine pi over 3 is equal to opposite over hypotenuse is equal to opposite over 1 is equal to opposite The length opposite the angle is the horizontal distance from the y -axis on the graph.
C
sine pi over 3 is equal to adjacent over hypotenuse is equal to adjacent over 1 is equal to adjacent The length adjacent to the angle is the vertical distance from the x -axis on the graph.
D
sine pi over 3 is equal to adjacent over hypotenuse is equal to adjacent over 1 is equal to adjacent The length adjacent to the angle is the horizontal distance from the y -axis on the graph.
24

Which function describes the graph?

A
f of x is equal to 3 cosine x plus 3
B
f of x is equal to 6 sine x
C
f of x is equal to 3 sine x plus 3
D
f of x is equal to 6 cosine x
25

What is the equation of the given graph?

A
y is equal to cosecant of open paren x plus 2 close paren
B
y is equal to cosecant of x plus 2
C
y is equal to secant of open paren x plus 2 close paren
D
y is equal to secant of x plus 2

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