What is the Cartesian form of $(2, \frac{15 π}{2})$ $( 2 , ( 15pi)/2 )$ ?

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What is the Cartesian form of $(2, \frac{15 π}{2})$ $( 2 , ( 15pi)/2 )$ ?

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Answer 1 · 2016-11-19T20:57:22

$(0, - 2)$ $(0,-2)$

Explanation:

Whereas Cartesian coordinates follow the form $(x, y)$ $(x,y)$ , polar coordinates follow the form $(r, θ)$ $(r,theta)$ , where $r$ $r$ is the radius and $θ$ $theta$ is the angle. To convert from polar to Cartesian form given both $r$ $r$ and $θ$ $theta$ , use $x = r cos (θ)$ $x=rcos(theta)$ and $y = r sin (θ)$ $y=rsin(theta)$ .

$x = r cos (θ)$ $x=rcos(theta)$
$x = 2 cos (\frac{15 π}{2})$ $x=2cos((15pi)/2)$
$x = 0$ $x=0$

$y = r sin (θ)$ $y=rsin(theta)$
$y = 2 sin (\frac{15 π}{2})$ $y=2sin((15pi)/2)$
$y = - 2$ $y=-2$

Thus, the Cartesian form of $(2, \frac{15 π}{2})$ $(2, (15pi)/2)$ is $(0, - 2)$ $(0,-2)$ .

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What is the Cartesian form of $(2, \frac{15 π}{2})$ $( 2 , ( 15pi)/2 )$ ?

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What is the Cartesian form of ( 2 , ( 15pi)/2 ) (2,15π2)( 2 , ( 15pi)/2 ) ?

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What is the Cartesian form of $(2, \frac{15 π}{2})$ $( 2 , ( 15pi)/2 )$ ?