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.
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    (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:

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    Polar coordinates to rectangular conversion :

    y = r sin theta, x = r cos theta

Questions