- #1
Mike AkA Don
- 30
- 0
I need to figure out what or if what I found is why it is.
I need the inverse of a polar equation graphed.
When I say inverse I mean switching the variables and then placing it in proper form again.
I have the equation r=Cos(θ) which produces the following graph.
http://images.iceogen.net/cospheta.gif
What I need is r=ArcCos(θ), when put in Mathematica it gives me this.
http://images.iceogen.net/inverse.gif
Between the left end of the line and the x and y axises multiple values of pheta exist but they are not ploted, I believe it is because they aren't real, but why? and can this be properly graphed?
Mathematicas gives me these errors:
{ArcCos[θ] Cos[θ],ArcCos[θ] Sin[θ]} does not evaluate to a pair of real numbers at θ = 1.0453537892798384
{ArcCos[θ] Cos[θ],ArcCos[θ] Sin[θ]} does not evaluate to a pair of real numbers at θ = 1.011390375748485
{ArcCos[θ] Cos[θ],ArcCos[θ] Sin[θ]} does not evaluate to a pair of real numbers at θ = 1.0036610320397505
Any answers would be much appriciated
I need the inverse of a polar equation graphed.
When I say inverse I mean switching the variables and then placing it in proper form again.
I have the equation r=Cos(θ) which produces the following graph.
http://images.iceogen.net/cospheta.gif
What I need is r=ArcCos(θ), when put in Mathematica it gives me this.
http://images.iceogen.net/inverse.gif
Between the left end of the line and the x and y axises multiple values of pheta exist but they are not ploted, I believe it is because they aren't real, but why? and can this be properly graphed?
Mathematicas gives me these errors:
{ArcCos[θ] Cos[θ],ArcCos[θ] Sin[θ]} does not evaluate to a pair of real numbers at θ = 1.0453537892798384
{ArcCos[θ] Cos[θ],ArcCos[θ] Sin[θ]} does not evaluate to a pair of real numbers at θ = 1.011390375748485
{ArcCos[θ] Cos[θ],ArcCos[θ] Sin[θ]} does not evaluate to a pair of real numbers at θ = 1.0036610320397505
Any answers would be much appriciated
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