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Question Number 68836 by Joel122 last updated on 16/Sep/19

$$\mathrm{Show}\mathrm{that}\mathrm{the}\mathrm{graph}\mathrm{of}$$$$\mathit{r}=\left(\sin t\right)\mathit{i}+\left(2\cos t\right)\mathit{j}+\left(\sqrt{3}\sin t\right)\mathit{k}$$$$\mathrm{is}\mathrm{a}\mathrm{circle}$$

Answered by Tanmay chaudhury last updated on 16/Sep/19

$$ix+jy+kz=\left(sint\right)i+\left(2cost\right)j+\left(\sqrt{3}sint\right)k$$$$x=sint$$$$y=2cost$$$$z=\sqrt{3}sint$$$$x^2+y^2+z^2={sin}^{2}t+4{cos}^{2}t+3{sin}^{2}t$$$$x^2+y^2+z^2=4\to eqnofsphere$$

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