What is the Cartesian form of #( 4, (5pi)/2 ) #?

Answer 1

The point is #(0,4)#.

The standard conversion between polar and cartesian coordinates is: #x = r cos(theta)# #y = r sin(theta)#
The given coordinates are of the form #(r, theta)#. And one will also note that: #(5pi)/2 = pi/2 + 2pi#
Meaning that we can simply reduce the angle to #pi/2# since we can always subtract full revolutions of the unit circle from angles in polar coordinates, so the result is: #x = 4cos((pi)/2) = 0# #y = 4sin((pi)/2) = 4#
The point, then, is #(0,4)#
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Answer 2

The Cartesian form of the point (4, (5π)/2) is (0, 4).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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