Are there more than one way to convert Polar to Rectangular coordinates?

1 Answer
Jan 14, 2016

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.
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(I assume here that we are dealing only with Real values of #x, y, r, and theta#).