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This topic is about to give me a brain aneurysm, please help

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Sagot :

To convert a polar point (r, θ) to rectangular coordinates (x, y) use the formula:

[tex]\begin{gathered} x=r\cos\theta \\ y=r\sin\theta \end{gathered}[/tex]

Therefore,

[tex]x=5\cos(\frac{11\pi}{4})=-\frac{5\sqrt{2}}{2}[/tex]

[tex]y=5\sin(\frac{11\pi}{4})=\frac{5\sqrt{2}}{2}[/tex]

Therefore, the required rectangular coordinates is:

[tex](-\frac{5\sqrt{2}}{2},\frac{5\sqrt{2}}{2})[/tex]

(-5√2/2, 5√2/2)

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