Question

Use the graph of the sine function. Can someone help me with it?

Answer 1

a. `1`
b. `"Period" = 2pi`
c. `"Amplitude" = 2`

Please see the explanation.

Explanation:

Part a.

There is only 1 way to obtain this answer.

Look at the graph and observe that there is only 1 complete cycle.

Part b.

There are 2 ways to obtain this answer.

1. Look at the graph and observe the value of x where the cycle completes. `x = 2pi`, therefore, the `"Period" = 2pi`

2. Referring the form `y = Asin(Btheta)` and the formula

`"Period" = (2pi)/B`

We observe that the value of `B` in the equation `y = 2sin(theta)` is 1, therefore, the `"Period" = 2pi`

Part c.

There are several ways to obtain this answer; I shall give 2.

1. Look at the graph and observe that it start at 0 and achieves a maximim of 2; this means that the `"Amplitude" = 2`

2. Referring the form `y = Asin(Btheta)` and the formula

`"Amplitude" = |A|`

We observe that the value of `A` in the equation `y = 2sin(theta)` is 2, therefore, the `"Amplitude" = 2`