using basic trigonometry derive the following equations, which are used to convert cartesian to polar coordinates and vice versa. why is the cos(phi)in the x term?
x = R cos (phi) sin (lamda)
y = R sin (phi)
they are used in orthogonal projection of a spherical surface to a flat surface in the (x y) plane.
where (phi)=latitude
(lamda)=longitude
2 answers
wikipedia has a nice article explaining this projection. Your example uses an origin of (0,0) for the projection, reducing the complexity of the equations considerably.
Graph the oriented angle in standard position.
7π
4
7π
4