What is the Cartesian form of $(1,(pi )/4)$ ?

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Answer 1 · 2017-03-26T01:25:05

$(sqrt2/2, sqrt2/2)$

To find the Cartesian form of polar coordinates (i.e. the $x$ and $y$ coordinates), use the following formulas:

$x = r costheta$
$y = r sintheta$

In this case, $r = 1$ and $theta = pi/4$ .

So, just plug in these values to get your coordinates.

$x = 1 * cos(pi/4) = sqrt2/2$
$y = 1 * sin(pi/4) = sqrt2/2$

Therefore, the Cartesian form of $(1, pi/4)$ is $(sqrt2/2, sqrt2/2)$ .

Final Answer

What is the Cartesian form of (1,(pi )/4)(1,(pi )/4)?