Asked by Anonymous
Solve
R=3(1-sin theta) and graph
R=3(1-sin theta) and graph
Answers
Answered by
Steve
you can't solve it. It's just a function definition. But, the graph is at
http://www.wolframalpha.com/input/?i=r+%3D+3%281-sin%CE%B8%29
Now, if you want to see its equation in rectangular coordinates,
r = 3 - 3sinθ
r^2 = 3r - 3r sinθ
x^2+y^2 = 3r - 3x
x^2+y^2+3x = 3√(x^2+y^2)
(x^2+y^2+3x)^2 = 9(x^2+y^2)
In general, interesting and simple polar curves have nasty rectangular equations.
http://www.wolframalpha.com/input/?i=r+%3D+3%281-sin%CE%B8%29
Now, if you want to see its equation in rectangular coordinates,
r = 3 - 3sinθ
r^2 = 3r - 3r sinθ
x^2+y^2 = 3r - 3x
x^2+y^2+3x = 3√(x^2+y^2)
(x^2+y^2+3x)^2 = 9(x^2+y^2)
In general, interesting and simple polar curves have nasty rectangular equations.
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