Convert the polar coordinate $(2, \frac{5 π}{4})$ to Cartesian coordinates.
$\begin{array}{l} x = \\ y = \end{array}$
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$y = - \sqrt{2}$

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Step 1 ：Convert the polar coordinate $(2, \frac{5 π}{4})$ to Cartesian coordinates using the formulas $x = r \cos (θ)$ and $y = r \sin (θ)$ where $r$ is the radius and $θ$ is the angle in radians.

Step 2 ：Given $r = 2$ and $θ = \frac{5 π}{4}$ , calculate $x$ and $y$ .

Step 3 ： $x = 2 \cos (\frac{5 π}{4}) = 2 \cos (3.9269908169872414) = - 1.4142135623730954$

Step 4 ： $y = 2 \sin (\frac{5 π}{4}) = 2 \sin (3.9269908169872414) = - 1.414213562373095$

Step 5 ：Simplify the values of $x$ and $y$ to get the final answer.

Step 6 ： $x = - \sqrt{2}$

Step 7 ： $y = - \sqrt{2}$

Convert the polar coordinate (2,5π4) to Cartesian coordinates.x=y=Calculator

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Convert the polar coordinate $(2, \frac{5 π}{4})$ to Cartesian coordinates.
$\begin{array}{l} x = \\ y = \end{array}$
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