For the set of parametric equations x=cos(At+B), y=sin(At+B): a) Graph the curve, including orientation (assuming that A is positive).  b) Which point would we start at (when t=0)? How long (what t value) would it take to go all the way around?

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For the set of parametric equations x=cos(At+B), y=sin(At+B):

a) Graph the curve, including orientation (assuming that A is positive). 

b) Which point would we start at (when t=0)? How long (what t value) would it take to go all the way around?

c) Normally, it would take 2 seconds (or whatever units) to get all the way around this circle, where =2. Use t transformations to explain why it takes us as long as it does to go all the way around.



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