R=2cosθ Convert to rectangular form?

In summary, the conversation discusses an equation (r = 2 cos θ) and suggests two other equations (x = r cos θ and y = r sin θ) that can be used to convert polar equations. It also corrects a mistake in the original equation (r2 = x2 + y2). The suggested method is to multiply both sides of the equation by r and then substitute.
  • #1
Jurrasic
98
0
It does not explain it in any of the books ? So no clue even on how to start other than,
R = X squared + Y squared
 
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  • #2
Jurrasic said:
It does not explain it in any of the books ? So no clue even on how to start other than,
R = X squared + Y squared
First of all this isn't correct. It should be
r2 = x2 + y2.

Second, if you have a textbook, check it again, because there are at least two other equations that can be used to convert polar equations:
x = r cos θ and y = r sin θ.

As for your problem,
r = 2 cos θ,
start by multiplying both sides by r. Then substitute.
 

Related to R=2cosθ Convert to rectangular form?

1. How do I convert R=2cosθ into rectangular form?

To convert R=2cosθ into rectangular form, we can use the following formula: x = Rcosθ and y = Rsinθ. This will give us the rectangular coordinates (x,y) in terms of the polar coordinates (R,θ).

2. What is the purpose of converting from polar to rectangular form?

Converting from polar to rectangular form allows us to represent a point in a different coordinate system. This can be useful in solving certain mathematical equations or graphing functions.

3. Can R=2cosθ be graphed in rectangular form?

Yes, R=2cosθ can be graphed in rectangular form. The x-coordinate would be 2cosθ and the y-coordinate would be 2sinθ, where θ is the angle in radians.

4. How can I determine the distance of a point from the origin in rectangular form?

In rectangular form, the distance of a point (x,y) from the origin is given by the formula √(x²+y²). This is also known as the Pythagorean theorem.

5. Can I convert R=2cosθ into rectangular form using a calculator?

Yes, most scientific calculators have a "Convert to Rectangular" function which can be used to easily convert polar coordinates into rectangular form.

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