Answer:
Option A y = sin ( x + 90 )
Step-by-step explanation:
The given graph is the graph of cosine which should be in the form of
y = a cos ( bx + c ) + d
here a = amplitude = [tex]\frac{1-(-1)}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Since period of the wave is 2x or 360°.
we know, period = [tex]\frac{2\pi }{b}[/tex]
[tex]b=\frac{2\pi }{2\pi }[/tex] = 1
Now equation becomes,
y = cos ( x + c ) + d
In this graph there is no horizontal or vertical shift
c = 0 and d = 0
so equation will be y = cos (x)
as we know y = cos (x) = sin ( 90 + x )
Therefore, Option A y = sin ( x + 90 ) is the answer.
