Question

Sketch the graph of y=cos(x+pie/2).
I don't understand how to do this.

Answer 1

Do you know how to sketch the graph of y = cosx ?

Answer 2

yes i do

Answer 3

The graph of y = cos(x + pi/2) looks a lot like y = cos x.
You could see this as follows: cos 0 = 1 is the starting point of the "normal" cos.
To get 1 as a result from your function, you need to substitute -pi/2 for x.
That means the starting point of cos(x + pi/2) has shifted...

Answer 4

to the left right?

Answer 5

Right, to the left!

Answer 6

So, it would start at -pie/2 and would it go to pie/2 in the positive direction?

Answer 7

The period (2pi) hasn't changed, so it would end at 3pi/2, exactly 2pi to the right from -pi/2

Answer 8

oh, ok i get it now thanks!!!

Answer 9

Thank you too!