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

enter image source here

1 Answer
Sep 30, 2017

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#