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how to graph $theta = phi$ in spherical coordinates

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3

1

$begingroup$

how to graph the spherical equation:
$$theta = phi$$

in spherical coordinates $(rho, theta, phi)$ where:

$rho$ = distance from origin

$theta$ = angle relative to x-axis in xy-plane

$phi$ = angle relative to z-axis

spherical-coordinates

share|cite|improve this question

asked Mar 12 at 14:22

DiscreteMathDiscreteMath

595

$endgroup$

add a comment | 

3

1

$begingroup$

how to graph the spherical equation:
$$theta = phi$$

in spherical coordinates $(rho, theta, phi)$ where:

$rho$ = distance from origin

$theta$ = angle relative to x-axis in xy-plane

$phi$ = angle relative to z-axis

spherical-coordinates

share|cite|improve this question

asked Mar 12 at 14:22

DiscreteMathDiscreteMath

595

$endgroup$

add a comment | 

$begingroup$

how to graph the spherical equation:
$$theta = phi$$

in spherical coordinates $(rho, theta, phi)$ where:

$rho$ = distance from origin

$theta$ = angle relative to x-axis in xy-plane

$phi$ = angle relative to z-axis

spherical-coordinates

share|cite|improve this question

asked Mar 12 at 14:22

DiscreteMathDiscreteMath

595

$endgroup$

share|cite|improve this question

asked Mar 12 at 14:22

DiscreteMathDiscreteMath

595

share|cite|improve this question

asked Mar 12 at 14:22

DiscreteMathDiscreteMath

595

asked Mar 12 at 14:22

DiscreteMathDiscreteMath

595

asked Mar 12 at 14:22

DiscreteMathDiscreteMath

595

1 Answer
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active

oldest

votes

3

$begingroup$

I don't know if I am right or wrong but I have made some calculations. As given $theta=phi$ so using the relations $$x=rcosthetasinphi$$ $$y=rsinthetasinphi$$ $$z=rcostheta$$ we get, $$x=rcosthetasintheta$$ $$y=rsinthetasintheta$$ $$z=rcostheta$$

Now using Parametric plot feature on Mathematica in range $1le rle 5$ and $0le thetale2pi$ I got these,

Here is a useful LINK

Hope this works!

share|cite|improve this answer

answered Mar 12 at 15:05

Sujit BhattacharyyaSujit Bhattacharyya

1,528519

$endgroup$

add a comment | 

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3

$begingroup$

I don't know if I am right or wrong but I have made some calculations. As given $theta=phi$ so using the relations $$x=rcosthetasinphi$$ $$y=rsinthetasinphi$$ $$z=rcostheta$$ we get, $$x=rcosthetasintheta$$ $$y=rsinthetasintheta$$ $$z=rcostheta$$

Now using Parametric plot feature on Mathematica in range $1le rle 5$ and $0le thetale2pi$ I got these,

Here is a useful LINK

Hope this works!

share|cite|improve this answer

answered Mar 12 at 15:05

Sujit BhattacharyyaSujit Bhattacharyya

1,528519

$endgroup$

add a comment | 

3

$begingroup$

I don't know if I am right or wrong but I have made some calculations. As given $theta=phi$ so using the relations $$x=rcosthetasinphi$$ $$y=rsinthetasinphi$$ $$z=rcostheta$$ we get, $$x=rcosthetasintheta$$ $$y=rsinthetasintheta$$ $$z=rcostheta$$

Now using Parametric plot feature on Mathematica in range $1le rle 5$ and $0le thetale2pi$ I got these,

Here is a useful LINK

Hope this works!

share|cite|improve this answer

answered Mar 12 at 15:05

Sujit BhattacharyyaSujit Bhattacharyya

1,528519

$endgroup$

add a comment | 

$begingroup$

I don't know if I am right or wrong but I have made some calculations. As given $theta=phi$ so using the relations $$x=rcosthetasinphi$$ $$y=rsinthetasinphi$$ $$z=rcostheta$$ we get, $$x=rcosthetasintheta$$ $$y=rsinthetasintheta$$ $$z=rcostheta$$

Now using Parametric plot feature on Mathematica in range $1le rle 5$ and $0le thetale2pi$ I got these,

Here is a useful LINK

Hope this works!

share|cite|improve this answer

answered Mar 12 at 15:05

Sujit BhattacharyyaSujit Bhattacharyya

1,528519

$endgroup$

share|cite|improve this answer

answered Mar 12 at 15:05

Sujit BhattacharyyaSujit Bhattacharyya

1,528519

answered Mar 12 at 15:05

Sujit BhattacharyyaSujit Bhattacharyya

1,528519

answered Mar 12 at 15:05

Sujit BhattacharyyaSujit Bhattacharyya

1,528519