Graphing Sine and Cosine

Question 1

The amplitude is . The vertical shift is . An equation for this graph is y = .

Revolt · Accepted Answer

Part 1: 1; Part 2: 0

Question 2

Graph y = sin(x) on the graphing calculator. Use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the given distance.When the boat has traveled 7 meters, the height of the barnacle is approximately:

Revolt · Accepted Answer

0.657 m

Question 3

When the boat has traveled 10 meters, the height of the barnacle is approximately:

Revolt · Accepted Answer

–0.544 m

Question 4

Check each of the following that you included in your explanation.

Revolt · Accepted Answer

When the graph is below the x-axis, the barnacle is underwater.; The graph dips below the x-axis three times between x = 0 and x = 20, so the barnacle goes underwater three times.; Every time the barnacle goes underwater, the boat travels [image 1] meters (one half the circumference of the wheel) before the barnacle comes back up, so the barnacle covers 3 [image 2] meters underwater between x = 0 and x = 20.

Question 5

Find the following (take ground level to be 0):Gum’s minimum height: ft

Revolt · Accepted Answer

Part 1: 6; Part 2: 8

Question 6

How far does the gum travel in one revolution of the bicycle wheel? ft

Revolt · Accepted Answer

2pi

Question 7

a = ⇒ 6,

Revolt · Accepted Answer

Part 2: 7; Part 3: 8; Part 4: 7; Part 5: 6

Graphing Sine and Cosine Answers

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