![]() Just as with the normal-tangential coordinate system, we will need to remember that we will need to split the single vector equation into two separate scalar equations. OCW is open and available to the world and is a permanent MIT activity. Figure 6.2.2: (a) A graph is symmetric with respect to the line 2 (y-axis) if replacing (r, ) with ( r, ) yields an equivalent equation. MIT OpenCourseWare is a web based publication of virtually all MIT course content. The graph of a polar equation can be evaluated for three types of symmetry, as shown in Figure 6.2.2. ![]() (7.8) These formulas can be used to convert from rectangular to polar or from polar to rectangular coordinates. G1: Polar Coordinates G2: Polar Curves G3: Polar Integration. Though this final equation has a number of terms, it is still just two components in vector form. The correct conversion formulae are: x r sin (polar) cos (alpha) y r sin (polar) sin (alpha) z r cos (polar) Where: r is the Radius alpha is the horizontal angle from the X axis polar is the vertical angle from the Z axis. A polar equation describes a curve on the polar grid. Given a point P in the plane with Cartesian coordinates ( x, y) and polar coordinates ( r, ), the following conversion formulas hold true: x r cos and y r sin, (7.7) r 2 x 2 + y 2 and tan y x. Home > A-Level Further Maths > Pure > G: Polar Coordinates.
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