Converting Coordinates from Polar to Rectangular

Key Questions

  • Answer:

    All Polar #rarr# Rectangular coordinate conversions are based on the definitions of #sin# and #cos#:
    #color(white)("XXX")sin(theta)=y/rcolor(white)("XXX")cos(theta)=x/r#

    Explanation:

    There may be many ways to visualize the conversion of Polar to Rectangular coordinates. Sometimes (depending upon the values of #r# or #theta#) it is easier or faster to see this conversion graphically or in some other form, but in the end it comes back to the relationship between #x, y, r, and theta# as defined by the trigonometric functions.
    enter image source here
    (I assume here that we are dealing only with Real values of #x, y, r, and theta#).

  • Answer:

    #y = r sin theta, x = r cos theta#

    Explanation:

    http://www.nabla.hr/PC-RectPolarCooSys4.htm

    Polar coordinates to rectangular conversion :

    #y = r sin theta, x = r cos theta#

Questions