Option (A) y = sinx is the graph that represents a phase shift of pi/2 units right for the graph of y = cosx is the correct answer.
Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The function is y = cosx.
Plot the function on the graph as shown.
Now draw the functions that are in options to check for phase shift.
A) y = sinx
Plot y = sinx in the graph as shown below. Now it is clearly seen that a phase shift of pi/2 units right for the graph of y = cosx is y= sinx.
In the graph,
The cosx is shown as red wave and sinx is shown as blue wave.
Hence we can conclude that option (A) y = sinx is the graph that represents a phase shift of pi/2 units right for the graph of y = cosx is the correct answer.
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