SOLUTION: Consider the graphs of y=sin x and y=cos x. Determine 2 ways in which graph of cos function can be expressed as horizontal translation of the sin function. you can sketch these gra

Algebra ->  Trigonometry-basics -> SOLUTION: Consider the graphs of y=sin x and y=cos x. Determine 2 ways in which graph of cos function can be expressed as horizontal translation of the sin function. you can sketch these gra      Log On


   



Question 1162459: Consider the graphs of y=sin x and y=cos x. Determine 2 ways in which graph of cos function can be expressed as horizontal translation of the sin function. you can sketch these graphs.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!


The red curve is of y = cos(x), the purple curve is of y = sin(x).

If we shift the purple (sine) curve left by π/2 units, it will
coincide exactly with the red (cosine) curve.

That is to say 

cos%28x%29=sin%28x%2Bpi%2F2%29


If we shift the purple (sine) curve right by 3π/2 units, it will also
coincide exactly with the red (cosine) curve.

That is to say 

cos%28x%29=sin%28x-3pi%2F2%29
  

Edwin