# How do you graph the polar equation #1=rcos(theta-pi/6)#?

To graph this easily, we can convert it to rectangular form.

In order to convert, we need to the cosine angle difference formula:

Knowing that

Now we can graph this linear equation like any other line.

An easy strategy would be to solve for the

The

This means that the

This means that the

That's it. Hope this helped!

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To graph the polar equation (1 = r \cos(\theta - \frac{\pi}{6})), follow these steps:

- Recognize that the equation represents a cardioid, which is a type of polar curve.
- The parameter (r) represents the distance from the origin to a point on the curve, and (\theta) represents the angle between the initial ray and the line connecting the origin to the point.
- Rewrite the equation in terms of (r) to isolate it: (r = \frac{1}{\cos(\theta - \frac{\pi}{6})}).
- Plot points by selecting various values of (\theta), calculating the corresponding values of (r), and converting them to Cartesian coordinates using the formulas (x = r \cos(\theta)) and (y = r \sin(\theta)).
- Plot the points on a polar grid or convert them to rectangular coordinates and plot them on a Cartesian grid.
- Connect the points to form the curve of the cardioid.

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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.

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