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Cycle 2 - Lesson 6 – Part I Trigonometric Functions - Modelling and Applications General equation for Trigonometric Functions used for modeling:

f ( x)  a sin[k ( x  d )]  c The Round-Up ride

f ( x)  a cos[k ( x  d )]  c

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The bobbing buoy

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C2-L6 - Practice Questions – Applications of Trigonometric Functions – Part I 1.

6.

2.

3.

7.

4.

8. 5.

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ANSWERS to Practice Questions 1. a) amplitude = 2

b) vertical translation = 4

2.

3. amplitude = 3, vertical translation = -1, phase shift = none, period = 2 or

4.

5.

No, they do not tell you where the piston starts at time 0 sec and whether it goes up or down first.

6.

7.

8.

The boat is 0.5 m above its mean position at 0.38 sec and at 1.63 sec into each cycle.