Show-that-the-graph-of-r-sin-t-i-2cos-t-j-3-sin-t-k-is-a-circle-

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

Show that the graph of

r = (\sin t) i + (2 \cos t) j + (\sqrt{3} \sin t) k

is a circle

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

i x + j y + k z = (s i n t) i + (2 c o s t) j + (\sqrt{3} s i n t) k

x = s i n t

y = 2 c o s t

z = \sqrt{3} s i n t

x^{2} + y^{2} + z^{2} = {s i n}^{2} t + 4 {c o s}^{2} t + 3 {s i n}^{2} t

x^{2} + y^{2} + z^{2} = 4 \to e q n o f s p h e r e