What is the Cartesian form of $(2,(15pi)/16))$ ?

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Answer 1 · 2017-10-22T09:09:05

See below.

enter image source here

It can be seen from the diagram that the x coordinate of P is $rcos(theta)$ and the y coordinate of P is $rsin(theta)$

So:

$x=rcos(theta)$

$y=rsin(theta)$

From example:

$x=2cos((15pi)/16)=-1.96$ (2 .d.p.)

$y=2sin((15pi)/16)=0.39$ (2 .d.p.)

Cartesian coordinate:

$( 1.69 , 0.39 )$

Polar Graph:

enter image source here

What is the Cartesian form of (2,(15pi)/16))(2,(15pi)/16))?