Plot the point whose polar coordinates are given. then find the cartesian coordinates of the point. (a) (3, 3π/2)

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18-04-2018
Mathematics

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Plot the point whose polar coordinates are given. then find the cartesian coordinates of the point. (a) (3, 3π/2)

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calculista calculista · Answer 1 · 2018-04-27T18:25:59+02:00

calculista calculista

27-04-2018

we have that
(3, 3π/2)
(3π/2)--------> 270°
the Cartesian coordinates of the point are
x=r*cos 270°------> 3*cos 270°-----> 3*0------> 0
y=r*sin 270°-------> 3*sin 270°-----> 3*(-1)----> -3

the answer is
(0,-3)

see the attached figure

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