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#### karush

##### Well-known member

- Jan 31, 2012

- 2,820

the ans to this is $\left(x^2+y^2\right)^{3/2}=10xy$

however... multiply both sides by $r$ to get $r^2=5\cdot r \cdot \sin{2\theta}$

then substitute $r^2$ with $x^2+y^2$

and $\sin{2\theta}$ with $2\sin\theta\cos\theta$

and divide each side by $r$

$$\frac{x^2+y^2}{\sqrt{x^2+y^2}}=10xy$$

how is $\left(x^2+y^2\right)^{3/2}$ derived?