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

Answer 1

Christopher Agresta

#(1/sqrt2, -1/sqrt2)#

We're asked to find the Cartesian (rectangular) form of a polar coordinate.

We can use two simple equations to get the #x#- and #y#-coordinates:

#x = rcostheta#

#y = rsintheta#

Here.

#r = 1#

#theta = -pi/4#

So we have

#x = (1)cos(-pi/4) = color(red)(1/sqrt2#

#y = (1)sin(-pi/4) = color(blue)(-1/sqrt2#

The Cartesian form is thus

#(color(red)(1/sqrt2), color(blue)(-1/sqrt2))#

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Answer 2

Ezra Adams

The Cartesian form of the point ((1, -\frac{\pi}{4})) is ((1, -\frac{\pi}{4})). This point is already represented in Cartesian coordinates, where the first value corresponds to the x-coordinate and the second value corresponds to the y-coordinate. Therefore, no further conversion or transformation is needed.

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Answer 3

Cameron Alexander

The Cartesian form of the point ((1, -\frac{\pi}{4})) is ((1, -\frac{\pi}{4})). This point is already in Cartesian form, where the first coordinate represents the (x)-coordinate and the second coordinate represents the (y)-coordinate.

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