SOLUTION: graph the function y= 2cos(theta + pi/3)

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Question 218332: graph the function y= 2cos(theta + pi/3)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Simply start with f%28x%29=cos%28x%29


drawing%28500%2C500%2C-5%2C5%2C-5%2C5%2C%0D%0Agraph%28500%2C500%2C-5%2C5%2C-5%2C5%2Ccos%28x%29%29%0D%0A%29



and shift the entire graph over to the left pi%2F3 units to get g%28x%29=cos%28x%2Bpi%2F3%29


drawing%28500%2C500%2C-5%2C5%2C-5%2C5%2C%0D%0Agraph%28500%2C500%2C-5%2C5%2C-5%2C5%2Ccos%28x%29%2Ccos%28x%2Bpi%2F3%29%29%0D%0A%29 Graph of y=cos%28x%29 (red) and y=cos%28x%2Bpi%2F3%29 (green)


So the graph of g%28x%29=cos%28x%2Bpi%2F3%29 is

drawing%28500%2C500%2C-5%2C5%2C-5%2C5%2C%0D%0Agraph%28500%2C500%2C-5%2C5%2C-5%2C5%2Ccos%28x%2Bpi%2F3%29%29%0D%0A%29