Please, help toconvert the Polar Equation to Cartesian Coordinates: r^{2}=\sec4\theta

philosphy111of 2021-11-20 Answered
Please, help toconvert the Polar Equation to Cartesian Coordinates:
r2=sec4θ
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Expert Answer

Poul1963
Answered 2021-11-21 Author has 15 answers
r2=sec4θ=1cos4θ=1cos(2θ+2θ)=1cos2θcos2θsin2θsin2θ=118sin2θ+8sin4θ=118y2x2+y2+8(y2x2+y2)2
x2+y2=(x2+y2)2(x2+y2)28y2(x2+y2)+8y4
So,
x4+y46x2y2=x2+y2
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Donald Valley
Answered 2021-11-22 Author has 10 answers

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