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anonymous
 4 years ago
What are the polar coordinates for the point (1,2) i got r = 5 but theta = arctan 2?
anonymous
 4 years ago
What are the polar coordinates for the point (1,2) i got r = 5 but theta = arctan 2?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and yes, in this case \[\theta =\tan^{1}(2)\] because you are in quadrant 4

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay so arctan(2) is correct?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes. it is always the case that \[\tan(\theta)=\frac{b}{a}\] but it is not always the case that \[\theta=\tan^{1}(\frac{b}{a})\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0because arctan only returns answers in \[[\frac{\pi}{2},\frac{\pi}{2}]\]so you need to be careful about what quadrant you are in
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