A problem in polar i want check my answer

  • Thread starter r-soy
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In summary, to write a complex number in polar form, we need to find the modulus (r) and argument (Q) of the number. For the given complex number of -3 - 5i, we find the modulus to be 5.83 and the argument to be -3.981. Therefore, the polar form of the complex number is 5.83e^(-3.981)i.
  • #1
r-soy
172
1
write in polar form ...elc
-3 - 5i

my answer :

x = -3 y = - 5

r = root (-3)^2 + (-5)^2
= 5.83

tan Q = 5/3 = -1.12
tan-1 -1.12 = -0.84
Q = -0.84
Q = -pi + -0.84 = -3.981

Polar form = 5.83e^(-3.981)i
 
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  • #2
Ok first off:
I believe you've recorded your answer in exponential form.

Forms of Complex Numbers:

[PLAIN]https://dl.dropbox.com/u/4645835/MATH/ComplexForms.gif

Please correct me if I'm wrong.
 
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  • #3
I think your angle may be wrong as well. This is what I did:

[PLAIN]https://dl.dropbox.com/u/4645835/MATH/Ex1.gif

I can explain why I added 180 degrees to the angle I calculated - if needed.
 
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  • #4
Hi

but as I know in this question we change calculator to ( Rad ) nor (deg) because we have integer number -3 and - 5 not roots or ,

and please I want explaine more because I don't understand clearly
 
  • #5
r-soy said:
write in polar form ...elc
-3 - 5i

my answer :

x = -3 y = - 5

r = root (-3)^2 + (-5)^2
= 5.83

tan Q = 5/3 = -1.12
tan Q = 5/3, but 5/3 is not equal to -1.12
r-soy said:
tan-1 -1.12 = -0.84
Q = -0.84
Q = -pi + -0.84 = -3.981

Polar form = 5.83e^(-3.981)i
 

What is a problem in polar?

A problem in polar refers to a mathematical problem involving polar coordinates, which are a way of representing points in a two-dimensional coordinate system using distance and angle from a fixed point.

What are some common examples of problems in polar?

Some common examples of problems in polar include finding the distance between two points, finding the angle between two lines, and finding the area of a sector or segment of a circle.

What is the process for solving a problem in polar?

The process for solving a problem in polar typically involves converting the given information into polar coordinates, using trigonometric functions to find the desired values, and then converting back to rectangular coordinates if needed.

What are the main differences between polar and rectangular coordinates?

The main differences between polar and rectangular coordinates are the way they represent points and the formulas used to calculate distance, slope, and other properties. In polar coordinates, points are represented by a distance and angle from a fixed point, while in rectangular coordinates, points are represented by x and y coordinates.

How can I check my answer for a problem in polar?

You can check your answer for a problem in polar by converting your solution back to rectangular coordinates and comparing it to the original problem statement. You can also use a graphing calculator or online tool to graph the problem and your solution to visually confirm the correctness of your answer.

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