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Converting between Cartesian and Polar Functions
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- Converting between Cartesian and Polar Functions
Elmer Nocon
Angelo Bernabe
Mark Kenneth Hitosis - we substitute r ? sin ? fory
then substitute r ? cos ? for x
F I N A L
ANSWER
we factor out r
divide both sides of the equation by (5sin ? – 3cos ?) - we substitute
r ? sin ? for y
andr ? cos ? forx respectively
F I N A L
subtract (6 ?r ? cos ?) from both sides of the equation, which will result into this
ANSWER
factor out r
divide (sin ? - 6cos ?) from both sides of the equation - from y = r ? sin ? we convert it to another equation by dividing from both sides of the equation r
then we substitute y/r for sin ?
F I N A L
ANSWER
cross multiply
then we substitute
x2+ y2 for r2 - from y = r ? sin ? we convert it to another equation by dividing from both sides of the equation r
then we substitute
y/r for sin ?
and x/r forcos ? respectively
F I N A L
ANSWER
from x = r ? cos ? we convert it to another equation by dividing from both sides of the equation r
Then multiply both sides of the equation by r
then we substitute
x2 + y2 for r2 - let’s say that c represents some constant
F I N A L
square both sides of the equation
ANSWER
then we substitute
x2+ y2 for r2
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