Convert to a polar equation y216xSolutiony216x xR cos theta

Convert to a polar equation
y^2=16x

Solution

y2=16x

x=R cos theta

y=R sin theta

R2sin2theta=16Rcos theta

R2sin2theta =16Rcos theta

R2sin2theta-16Rcos theta=0

R(Rsin2theta - 16cos theta )=0

Rsin2theta -16cos theta =0

Convert to a polar equation y^2=16xSolutiony2=16x x=R cos theta y=R sin theta R2sin2theta=16Rcos theta R2sin2theta =16Rcos theta R2sin2theta-16Rcos theta=0 R(Rs

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