Graphing Trigonometric functions, homework help

Find the amplitude of the function below.

y = 4 sinΘ


π

4

8

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Find the period of the function below.

y = 4 sin Θ


π

4

=================

Find the period of the function below.


π/2

π

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Find the amplitude of the function below.

y = 2 sin 4Θ


2

4

π

π/2

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Which of the following functions is shown in the graph below?


y = 2 tan Θ

y = 2 cot Θ

y = 2 cot (Θ/2)

y = 2 tan (Θ/2)

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Which of the following functions is shown in the graph below?


y = (1/3)sec 2Θ

y = 2 sec(Θ/3)

y = 2 csc(Θ/3)

y = (1/3)csc 2Θ

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Which of the following shows a graph of the function below?

A.

B.

C.

D.

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Which of the following graphs shows the function below?

y = 2 sec x

A.

B.

C.

D.

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A marker buoy off the coast of Gulfport, Mississippi, bobs up and down with the waves. The distance between the highest and lowest point is 6 feet. The buoy moves from its highest point to its lowest point and back to its highest point every 8 seconds. Which of the following equations represents the motion of the buoy if it is at equilibrium when t = 0 and it is moving up from the normal water level.

A.
B.
C.
D.

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A marker buoy off the coast of Gulfport, Mississippi, bobs up and down with the waves. The distance between the highest and lowest point is 6 feet. The buoy moves from its highest point to its lowest point and back to its highest point every 8 seconds. Which of the following graphs represents the motion of the buoy if it is at equilibrium when t = 0 and it is moving up from the normal water level.

A.

B.

C.

D.