polar and Cartesian coordinates system | #maths #mathshorts

Mapping Our World: Polar vs. Cartesian Coordinates

Ever wondered how to pinpoint a location on a map that isn't just a simple up-down and left-right grid? This video dives into two powerful tools for navigating the world of coordinates: **Polar** and **Cartesian** systems!

**In this short but info-packed video, you'll discover:**

* **The familiar friend:** We'll start with the classic **Cartesian system**, the one you probably used in school with its X and Y axes. You'll see how it uses horizontal and vertical distances to locate points.
* **The radar approach:** Then, we'll introduce the intriguing **polar coordinate system**. Imagine a radar sweep: here, location is determined by distance (radius) from a central point and the angle at which that distance is measured.
* **The conversion magic:** But the fun doesn't stop there! We'll unveil the secrets of converting between these two systems. Can you find a point using X and Y, but need it in polar coordinates? No problem! We'll show you how.
* **Real-world applications:** We'll wrap up by exploring some cool **real-world examples** of where these coordinate systems come in handy, from radar and navigation to spirograph art and even flower petals!

**Ready to unlock a new way of thinking about location? Watch now and master the art of polar and Cartesian coordinates!**

**#math #coordinatesystems #polarsystem #cartesiensystem #STEM**
## Keywords for your YouTube video on Polar and Cartesian Coordinates:

**Primary Keywords:**

* polar coordinates
* cartesian coordinates
* coordinate system conversion
* polar to cartesian conversion
* cartesian to polar conversion

**Secondary Keywords:**

* x and y axis
* distance
* angle
* radius
* origin (center point)
* trigonometry (for conversion formulas)
* radar
* navigation
* spirograph
* math
* geometry
* STEM

**Primary Hashtags:**
1. Addition
2. Subtraction
3. Multiplication
4. Division
5. Algebra
6. Geometry
7. Calculus
8. Trigonometry
9. Functions
10. Equations
11. Graphs
12. Probability
13. Statistics
14. Prime numbers
15. Fractions
16. Decimals
17. Percentages
18. Exponents
19. Logarithms
20. Matrices
21. Vectors
22. Complex numbers
23. Sequences
24. Series
25. Limits
26. Derivatives
27. Integrals
28. Differential equations
29. Linear algebra
30. Quadratic equations
31. Arithmetic
32. Geometric shapes
33. Circle
34. Triangle
35. Square
36. Rectangle
37. Parabola
38. Hyperbola
39. Ellipse
40. Congruence
41. Similarity
42. Pythagorean theorem
43. Area
44. Volume
45. Perimeter
46. Surface area
47. Mean
48. Median
49. Mode
50. Range
51. Standard deviation
52. Variance
53. Probability distribution
54. Normal distribution
55. Binomial distribution
56. Poisson distribution
57. Exponential distribution
58. Chi-square distribution
59. Hypothesis testing
60. Confidence intervals
61. Regression analysis
62. Correlation
63. Interpolation
64. Extrapolation
65. Sets
66. Union
67. Intersection
68. Complement
69. Disjoint sets
70. Universal set
71. Subset
72. Venn diagrams
73. Cartesian coordinates
74. Polar coordinates
75. Parametric equations
76. Complex plane
77. Eigenvalues
78. Eigenvectors
79. Arithmetic progression
80. Geometric progression
81. Fibonacci sequence
82. Pascal's triangle
83. Newton's method
84. Riemann sum
85. Fourier series
86. Taylor series
87. Vector calculus
88. Partial derivatives
89. Gradient
90. Divergence
91. Curl
92. Laplace transform
93. Fourier transform
94. Z-transform
95. Convolution
96. Matrix multiplication
97. Determinant
98. Inverse matrix
99. Linear regression
100. Nonlinear regression
* #polarcoordinates
* #cartesiancoordinates
* #coordinatesystem
* #math
* #geometry
* #STEM

**Secondary Hashtags:**

* #coordinateconversion
* #polartorapolar
* #cartesiantopolar
* #trigonometry (if conversion formulas are explained)
* #radar
* #navigation
* #spirograph
* #learnmath
* #mathtips
* #coordinategeometry (British English spelling)

[GB]

Dear Comments, please do research and confirm what you thought before accusing someone of stealing!

[serendipity-tilde]

Not a stolen video, but technically the θ=arctan(y/x) is a bit more complicated than that. If it's in quadrants II or III, you need to add 180⁰ or π or τ/2 to the result. If it's in quadrant IV, you can leave it as is, but if you want positive angle you have to add 360⁰ or 2π or τ to the result. Most programming libraries and software like excel have a dedicated function that does this automatically called "arctan2" or "atan2", and accepts y and x as separate parameters.

[TheBlackDeck]

This is how my mental map of the world around me looks

[sayank-]

This coordinate, can be used for building to more accurate stable.

[HnsTheInfinity]

Which software you make this can you ansithsi.