Question

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

Answer 1

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

`\begin{gathered} x=r\cos\theta \\ y=r\sin\theta \end{gathered}`

Therefore,

`x=5\cos((11\pi)/(4))=-(5√(2))/(2)`

`y=5\sin((11\pi)/(4))=(5√(2))/(2)`

Therefore, the required rectangular coordinates is:

`(-(5√(2))/(2),(5√(2))/(2))`

(-5√2/2, 5√2/2)