Question

which equation is represented by the accompanying graph?

Answer 1

I see right away, in your illustration, that the graph in question has an amplitude of 1 (since it starts at (0,1), and a half period of Pi.
If the half period is pi, what is the period?

Answer 2

period is pi/2?

Answer 3

Suppose the period were x.

(1/2)x = Pi. then x=?

Answer 4

2pi/b?

Answer 5

If (1/2)x= Pi, then multiplying both sides of this equation by 2 results in x=2Pi, so the period is 2Pi. OK?

Next question for you: Can you recognize the shape of the function in your illustration? it's the shape of one of the most common trig functions.

Answer 6

ye its cos sin