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I need help with this practice problem solving My attempted answer is in the pic, though I am not sure if I am correct or not

I Need Help With This Practice Problem Solving My Attempted Answer Is In The Pic Though I Am Not Sure If I Am Correct Or Not class=

Answer :

Solution

To convert from polar coordinate to rectangular coordinate,

[tex]\begin{gathered} (r,\theta)\to(r\cdot\cos \theta,r\cdot\sin \theta) \\ \\ \Rightarrow(3\sqrt[]{5},-\frac{\pi}{8})\to(3\sqrt[]{5}\cdot\cos (-\frac{\pi}{8}),3\sqrt[]{5}\cdot\sin (-\frac{\pi}{8})) \\ \\ \Rightarrow(3\sqrt[]{5}\cdot\cos (-\frac{\pi}{8}),3\sqrt[]{5}\cdot\sin (-\frac{\pi}{8}))=(6.20,-2.57) \end{gathered}[/tex]

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