2 dimensional shapes drawing1/8/2024 ![]() ![]() set_title ( f "Polar coordinates", fontsize = 14, pad = 20 ) 22 ax2. set_title ( f "Cartesian coordinates", fontsize = 14, pad = 20 ) 11 ax1. ![]() suptitle ( 4 f "Cartesian and Polar coordinates", 5 fontsize = 22, 6 fontweight = "bold", 7 ) 8 9 plot_axes ( ax1, ( - 1, - 1 ), ( 4.5, 5.5 )) 10 ax1. subplots ( 1, 2, figsize = ( 9, 6 ), facecolor = plt. The math module in python contains the function atan2 to get the correct angleġ ( x, y ) = ( 3, 4 ) 2 fig, = plt. Is possible to use inverse of all three functions to determine the exact angle, but Multiple angles have the same sine, so the inverse sine gives one of these angles. Vectors (3,4) and (-3,4) both have opposite length of 4 and hypotenuse length of 5. There is a problem with relying on results of the inverse functions asin, acosĪnd atan in that different coordinates may yield the same angle. Length (magnitude) of the vector and the angle from the horizontal axis. The horizontal and vertical distance from the origin. ![]() suptitle ( 4 f "Trigonometry on a right-angled triangle", 5 fontsize = 22, 6 fontweight = "bold", 7 ) 8 9 plot_axes ( ax1, ( - 1, - 1 ), ( 4.5, 5.5 )) 10 ax1. subplots ( 1, 2, figsize = ( 9, 6.5 ), facecolor = plt. The sine of an angle is equal to the length of the opposite sideĭivided by the length of the hypotenuse (SOH) cosine equals adjacent over hypotenuseĪnd tangent is equal to opposite over adjacent.ġ ( x, y ) = ( 3, 4 ) 2 fig, = plt. The rules can be remembered with use of the To convert between Cartesian and Polar coordinates, we need to use the trigonometric Length (or magnitude) of the vector and the angle counter-clockwise from the A vector canĪlso be described using the Polar coordinate, which consists of specifying the In the previous article all vectors were described using x and yĬoordinates - this is the called the Cartesian coordinate system. Trigonometry is the study of the relationships between side lengths and angles of Plot an elephant polygons Plot an elephant polygons set_title ( f "Elephant", fontsize = 14, pad = 20 ) 10 elephant = 44 plot_polygon ( ax1, * elephant ) 45 plt. subplots ( 1, 1, figsize = ( 10, 9 ), facecolor = plt. The last point is joinedġ fig, ax1 = plt. Mechanism of plotting a polygon based on a series of points. In the code above, there isĪ lot of repetition to create each segment of the shape. Straight line segments connected to form a closed shape. ![]() show () 27 28 publish_png_image ( fig, "draw-square-triangle.png" )ĭraw a square and triangle Draw a square and triangleĪ Polygon is a two-dimensional figure that is described by a finite number of 1 def plot_segment ( ax, v1, v2 ): 2 ax. ![]()
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