Monday, 21 December 2015

calculus - Interval of θ for a Diagonal Line

I have a problem that I've been trying to solve for a couple of hours , but I'm just not understanding it.



The problem is asking to take the polar equation



r=4cosθ+sinθ



and give an interval of θ in which the entire curve is generated.



I know that the equation ends up creating a diagonal line. But, how do you determine the interval for just a line? I think the answer is 0θπ; but I doubt that's correct. Can anyone tell me what steps I should take to get to the correct answer?




Many thanks in advance to anyone who can help.

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