Mathematics, 01.10.2019 06:50 coltonstevens15
Determine two pairs of polar coordinates for the point (3, 3) with 0° ≤ θ < 360
Answers: 2
![\theta=\tan^{-1}\dfrac{y}{x}=\tan^{-1}\dfrac{3}{3}=\tan^{-1}(1)=\tan^{-1}\tan\dfrac{\pi}{4}\\\\\\\Rightarrow \theta=\tan^{-1}\tan\left(n\pi+\dfrac{\pi}{4}\right),~~\textup{['n' is an integer and the period of tan function is }\pi]\\\\\\\Rightarrow \theta=n\pi+\dfrac{\pi}{4}=180^\circ n+45^\circ.](/tpl/images/0279/0758/4111d.png)
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Determine two pairs of polar coordinates for the point (3, 3) with 0° ≤ θ < 360...
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