# What is the Cartesian form of #( -8 , ( - 15pi)/4 ) #?

Use the polar conversion formulae

In order to perform the conversion from polar to cartesian coordinates, it helps us to remind ourselves of what the various coordinates represent.

On the xy-plane, the x coordinate simply denotes the x value (i.e. its position along the x-axis), and the y coordinate denotes the y-value (its position along the y-axis)

For a graphical representation, look here:

Multiplying both sides by r we get

Recall several important properties of trigonometric functions to make our conversion process easier:

To confirm, we will convert these back into polar coordinates.

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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.

- How do you find the slope of the polar curve #r=3sec(2theta)# at #theta=pi/6# ?
- What is the distance between the following polar coordinates?: # (16,(19pi)/12), (11,(17pi)/8) #
- How do you find the rectangular coordinates of the point with polar coordinates #(2,pi/4)#?
- What is the slope of the polar curve #f(theta) = theta^2 - thetasintheta # at #theta = (11pi)/8#?
- What is the slope of the polar curve #f(theta) = theta + cot^2theta+thetasin^3theta # at #theta = (3pi)/8#?

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