Question

Use the graph of the sine function y = 2 sin θ shown below.


a. How many cycles occur in the graph?
b. Find the period of the graph.
c. Find the amplitude of the graph.

Answer 1

Based on the given graph above, here are the answers for the following questions:
A. Based on the graph, there is only 1 cycle in it. It started at y=0 and ends in its starting point again which is still y=0. 
B. This cycle is 2 units long so this means that the period of the graph is 2pi units long.
C. The amplitude is defined as the distance from the center to the peak of the valley in the graph. So basing on it, the amplitude would be 2.
Hope these answers help.

Answer 2

Answer:

Graph C  for q's Sketch one cycle of the sine curve.

y = 2 sin 2θ