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Set x = r*sin(t) and y = r*cos(t)

then

r = sqrt(x^2 + y^2)

and

t = arctan(y/x) if x not 0, t = pi/2 if x = 0.

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Q: How would you convert Cartesian equation into polar equation?
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What is the first number in an orderd pair called?

The abscissa in Cartesian coordinates. In polar coordinates, it would be the radius .or domain


What does coordinate plan mean?

As a mathematical question this would refer to a choice of normally one of two popular coordinate systems, the Cartesian and the polar.


Why are linear equations called linear equations?

Because, if plotted on a Cartesian plane, all solutions to the equation would lie on a straight line.


Given three points in polar notation what are the polar coordinates of a point equidistant from the three given points and can this point be found without converting to Cartesian coordinates?

Technically, yes. But, the equations involved are complicated to the point that it would be a fraction of the difficulty of converting. Also, the equations are essentially the Cartesian equations with the conversions built in, so you might as well convert them to start with. However, if you insist on not converting, write out the entire process with all 4 points of interest in Cartesian coordinates. From beginning to end. Find the final equations needed and insert the conversion factors and simplify from there. To the best of my knowledge (and I did quite a bit of digging) there isn't a simply way of doing it. - Sorry.


Why is y equals ax plus b called the linear equation?

It is not. It is called a LINEAR equation. This is because the word linear refers to a line and, if the solutions of the equation, in the form of ordered pairs (x,y), were plotted on a Cartesian plane, they would all lie on a straight line.

Related questions

What is the first number in an orderd pair called?

The abscissa in Cartesian coordinates. In polar coordinates, it would be the radius .or domain


What graph would best represent the equation y -4x - 6?

If you mean y = -4x-6 then it is a straight line equation that can be graphed on the Cartesian plane


What does coordinate plan mean?

As a mathematical question this would refer to a choice of normally one of two popular coordinate systems, the Cartesian and the polar.


Why are linear equations called linear equations?

Because, if plotted on a Cartesian plane, all solutions to the equation would lie on a straight line.


How do you convert it to linear equation?

i think it would be great to ask a teacher


How do I convert 0.002256 centimeters to inches?

To convert centimeters to inches, you would follow this equation: cm x 0.3937008 So the answer would be 0.0008881890048.


Given three points in polar notation what are the polar coordinates of a point equidistant from the three given points and can this point be found without converting to Cartesian coordinates?

Technically, yes. But, the equations involved are complicated to the point that it would be a fraction of the difficulty of converting. Also, the equations are essentially the Cartesian equations with the conversions built in, so you might as well convert them to start with. However, if you insist on not converting, write out the entire process with all 4 points of interest in Cartesian coordinates. From beginning to end. Find the final equations needed and insert the conversion factors and simplify from there. To the best of my knowledge (and I did quite a bit of digging) there isn't a simply way of doing it. - Sorry.


Why is y equals ax plus b called the linear equation?

It is not. It is called a LINEAR equation. This is because the word linear refers to a line and, if the solutions of the equation, in the form of ordered pairs (x,y), were plotted on a Cartesian plane, they would all lie on a straight line.


True or False: One advantage of polar equations is that you can use a polar function to describe a graph whose equation in rectangular coordinates would not be considered a function?

True


What method would you use to convert 10 miles to kilometers?

Use this equation to convert miles to kilometers: miles x 1.60934 = kilometers


How do you graph y2x-2?

If you mean y = 2x-2 then it is a straight line equation whereas the slope is 2 and the y intercept is -2 and its coordinates would be plotted on the Cartesian plane.


What are some applications of the Cartesian coordinate system?

The most obvious is to plot relationships between one quantity and another. If for every thing you sell, you make 3 dollars, then you could express that as the equation y=3x and plot that using the Cartesian coordinate system. (where y would represent dollars and x would represent items sold)