I don't understand what the distance is that they are asking
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I don't understand what this problem is asking for, any help would be appreciated:
"Consider the spiral r = ø and a rayâÂÂemanating from the poleâÂÂthat intersects the spiral. What is the distance between any two consecutive points of intersection?
"
algebra-precalculus geometry polar-coordinates
 |Â
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up vote
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I don't understand what this problem is asking for, any help would be appreciated:
"Consider the spiral r = ø and a rayâÂÂemanating from the poleâÂÂthat intersects the spiral. What is the distance between any two consecutive points of intersection?
"
algebra-precalculus geometry polar-coordinates
$r=theta$ means that the point that is $r$ away from the origin makes an angle $theta$ in the plane.
â Jason Kim
Sep 1 at 3:20
I know the graph $r=theta$ but I don't understand what the distance is that they are asking
â Pagaley 12
Sep 1 at 3:22
@Pagaley12I don't understand what the distance is that they are asking
Does a ray from the origin intersect the spiral? Multiple times? Then the question is likely asking about the distance between two such consecutive intersections.
â dxiv
Sep 1 at 3:24
I think they were asking for me to draw a straight line from the origin at any angle and see the distance between two points that it intersects on the spiral
â Pagaley 12
Sep 1 at 3:25
@Pagaley12 Right. The spiral is $,r = theta,$, think at the equation of a ray now.
â dxiv
Sep 1 at 3:30
 |Â
show 5 more comments
up vote
2
down vote
favorite
up vote
2
down vote
favorite
I don't understand what this problem is asking for, any help would be appreciated:
"Consider the spiral r = ø and a rayâÂÂemanating from the poleâÂÂthat intersects the spiral. What is the distance between any two consecutive points of intersection?
"
algebra-precalculus geometry polar-coordinates
I don't understand what this problem is asking for, any help would be appreciated:
"Consider the spiral r = ø and a rayâÂÂemanating from the poleâÂÂthat intersects the spiral. What is the distance between any two consecutive points of intersection?
"
algebra-precalculus geometry polar-coordinates
algebra-precalculus geometry polar-coordinates
edited Sep 1 at 3:25
asked Sep 1 at 3:14
Pagaley 12
225
225
$r=theta$ means that the point that is $r$ away from the origin makes an angle $theta$ in the plane.
â Jason Kim
Sep 1 at 3:20
I know the graph $r=theta$ but I don't understand what the distance is that they are asking
â Pagaley 12
Sep 1 at 3:22
@Pagaley12I don't understand what the distance is that they are asking
Does a ray from the origin intersect the spiral? Multiple times? Then the question is likely asking about the distance between two such consecutive intersections.
â dxiv
Sep 1 at 3:24
I think they were asking for me to draw a straight line from the origin at any angle and see the distance between two points that it intersects on the spiral
â Pagaley 12
Sep 1 at 3:25
@Pagaley12 Right. The spiral is $,r = theta,$, think at the equation of a ray now.
â dxiv
Sep 1 at 3:30
 |Â
show 5 more comments
$r=theta$ means that the point that is $r$ away from the origin makes an angle $theta$ in the plane.
â Jason Kim
Sep 1 at 3:20
I know the graph $r=theta$ but I don't understand what the distance is that they are asking
â Pagaley 12
Sep 1 at 3:22
@Pagaley12I don't understand what the distance is that they are asking
Does a ray from the origin intersect the spiral? Multiple times? Then the question is likely asking about the distance between two such consecutive intersections.
â dxiv
Sep 1 at 3:24
I think they were asking for me to draw a straight line from the origin at any angle and see the distance between two points that it intersects on the spiral
â Pagaley 12
Sep 1 at 3:25
@Pagaley12 Right. The spiral is $,r = theta,$, think at the equation of a ray now.
â dxiv
Sep 1 at 3:30
$r=theta$ means that the point that is $r$ away from the origin makes an angle $theta$ in the plane.
â Jason Kim
Sep 1 at 3:20
$r=theta$ means that the point that is $r$ away from the origin makes an angle $theta$ in the plane.
â Jason Kim
Sep 1 at 3:20
I know the graph $r=theta$ but I don't understand what the distance is that they are asking
â Pagaley 12
Sep 1 at 3:22
I know the graph $r=theta$ but I don't understand what the distance is that they are asking
â Pagaley 12
Sep 1 at 3:22
@Pagaley12
I don't understand what the distance is that they are asking
Does a ray from the origin intersect the spiral? Multiple times? Then the question is likely asking about the distance between two such consecutive intersections.â dxiv
Sep 1 at 3:24
@Pagaley12
I don't understand what the distance is that they are asking
Does a ray from the origin intersect the spiral? Multiple times? Then the question is likely asking about the distance between two such consecutive intersections.â dxiv
Sep 1 at 3:24
I think they were asking for me to draw a straight line from the origin at any angle and see the distance between two points that it intersects on the spiral
â Pagaley 12
Sep 1 at 3:25
I think they were asking for me to draw a straight line from the origin at any angle and see the distance between two points that it intersects on the spiral
â Pagaley 12
Sep 1 at 3:25
@Pagaley12 Right. The spiral is $,r = theta,$, think at the equation of a ray now.
â dxiv
Sep 1 at 3:30
@Pagaley12 Right. The spiral is $,r = theta,$, think at the equation of a ray now.
â dxiv
Sep 1 at 3:30
 |Â
show 5 more comments
2 Answers
2
active
oldest
votes
up vote
0
down vote
accepted
It's not an answer but I think the problem is to find the Distance $AB$ in the figure. Choose the line (Red) suitably.
add a comment |Â
up vote
1
down vote
The spiral $r=theta$ looks like this:
Note: Green is based off of $r$ is negative (which is seen as not counted).
Since $theta$ repeats every $2pi,$ (well, it doesn't actually repeat, but $sin$ and $cos$ values are both the same value if $2pi$ gets added) the answer is $2pi.$
Is $(0,0)$ a point of intersection? If not, why?
â Ixion
Sep 1 at 3:44
I don't quite understand this notation, so I can't explain.
â Jason Kim
Sep 1 at 3:46
Is the point of the plane $(0,0)$ (the origin) a point of intersection between the blue segment and the spiral? (Sorry, English is not my native language.)
â Ixion
Sep 1 at 3:48
:P I meant the problem notation
â Jason Kim
Sep 1 at 3:49
Ah, ok. :) The question is not precise enough. I mean, if $thetain [0,+infty)$ then one of two consecutive points must be $(0,0)$, hence the distance between them is $theta$ for all $thetain [0,2pi)$ (by definition). If $thetain (0,+infty)$ then your solution is perfect.
â Ixion
Sep 1 at 3:57
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
It's not an answer but I think the problem is to find the Distance $AB$ in the figure. Choose the line (Red) suitably.
add a comment |Â
up vote
0
down vote
accepted
It's not an answer but I think the problem is to find the Distance $AB$ in the figure. Choose the line (Red) suitably.
add a comment |Â
up vote
0
down vote
accepted
up vote
0
down vote
accepted
It's not an answer but I think the problem is to find the Distance $AB$ in the figure. Choose the line (Red) suitably.
It's not an answer but I think the problem is to find the Distance $AB$ in the figure. Choose the line (Red) suitably.
answered Sep 1 at 3:34
Sujit Bhattacharyya
496116
496116
add a comment |Â
add a comment |Â
up vote
1
down vote
The spiral $r=theta$ looks like this:
Note: Green is based off of $r$ is negative (which is seen as not counted).
Since $theta$ repeats every $2pi,$ (well, it doesn't actually repeat, but $sin$ and $cos$ values are both the same value if $2pi$ gets added) the answer is $2pi.$
Is $(0,0)$ a point of intersection? If not, why?
â Ixion
Sep 1 at 3:44
I don't quite understand this notation, so I can't explain.
â Jason Kim
Sep 1 at 3:46
Is the point of the plane $(0,0)$ (the origin) a point of intersection between the blue segment and the spiral? (Sorry, English is not my native language.)
â Ixion
Sep 1 at 3:48
:P I meant the problem notation
â Jason Kim
Sep 1 at 3:49
Ah, ok. :) The question is not precise enough. I mean, if $thetain [0,+infty)$ then one of two consecutive points must be $(0,0)$, hence the distance between them is $theta$ for all $thetain [0,2pi)$ (by definition). If $thetain (0,+infty)$ then your solution is perfect.
â Ixion
Sep 1 at 3:57
add a comment |Â
up vote
1
down vote
The spiral $r=theta$ looks like this:
Note: Green is based off of $r$ is negative (which is seen as not counted).
Since $theta$ repeats every $2pi,$ (well, it doesn't actually repeat, but $sin$ and $cos$ values are both the same value if $2pi$ gets added) the answer is $2pi.$
Is $(0,0)$ a point of intersection? If not, why?
â Ixion
Sep 1 at 3:44
I don't quite understand this notation, so I can't explain.
â Jason Kim
Sep 1 at 3:46
Is the point of the plane $(0,0)$ (the origin) a point of intersection between the blue segment and the spiral? (Sorry, English is not my native language.)
â Ixion
Sep 1 at 3:48
:P I meant the problem notation
â Jason Kim
Sep 1 at 3:49
Ah, ok. :) The question is not precise enough. I mean, if $thetain [0,+infty)$ then one of two consecutive points must be $(0,0)$, hence the distance between them is $theta$ for all $thetain [0,2pi)$ (by definition). If $thetain (0,+infty)$ then your solution is perfect.
â Ixion
Sep 1 at 3:57
add a comment |Â
up vote
1
down vote
up vote
1
down vote
The spiral $r=theta$ looks like this:
Note: Green is based off of $r$ is negative (which is seen as not counted).
Since $theta$ repeats every $2pi,$ (well, it doesn't actually repeat, but $sin$ and $cos$ values are both the same value if $2pi$ gets added) the answer is $2pi.$
The spiral $r=theta$ looks like this:
Note: Green is based off of $r$ is negative (which is seen as not counted).
Since $theta$ repeats every $2pi,$ (well, it doesn't actually repeat, but $sin$ and $cos$ values are both the same value if $2pi$ gets added) the answer is $2pi.$
edited Sep 1 at 4:52
answered Sep 1 at 3:37
Jason Kim
53216
53216
Is $(0,0)$ a point of intersection? If not, why?
â Ixion
Sep 1 at 3:44
I don't quite understand this notation, so I can't explain.
â Jason Kim
Sep 1 at 3:46
Is the point of the plane $(0,0)$ (the origin) a point of intersection between the blue segment and the spiral? (Sorry, English is not my native language.)
â Ixion
Sep 1 at 3:48
:P I meant the problem notation
â Jason Kim
Sep 1 at 3:49
Ah, ok. :) The question is not precise enough. I mean, if $thetain [0,+infty)$ then one of two consecutive points must be $(0,0)$, hence the distance between them is $theta$ for all $thetain [0,2pi)$ (by definition). If $thetain (0,+infty)$ then your solution is perfect.
â Ixion
Sep 1 at 3:57
add a comment |Â
Is $(0,0)$ a point of intersection? If not, why?
â Ixion
Sep 1 at 3:44
I don't quite understand this notation, so I can't explain.
â Jason Kim
Sep 1 at 3:46
Is the point of the plane $(0,0)$ (the origin) a point of intersection between the blue segment and the spiral? (Sorry, English is not my native language.)
â Ixion
Sep 1 at 3:48
:P I meant the problem notation
â Jason Kim
Sep 1 at 3:49
Ah, ok. :) The question is not precise enough. I mean, if $thetain [0,+infty)$ then one of two consecutive points must be $(0,0)$, hence the distance between them is $theta$ for all $thetain [0,2pi)$ (by definition). If $thetain (0,+infty)$ then your solution is perfect.
â Ixion
Sep 1 at 3:57
Is $(0,0)$ a point of intersection? If not, why?
â Ixion
Sep 1 at 3:44
Is $(0,0)$ a point of intersection? If not, why?
â Ixion
Sep 1 at 3:44
I don't quite understand this notation, so I can't explain.
â Jason Kim
Sep 1 at 3:46
I don't quite understand this notation, so I can't explain.
â Jason Kim
Sep 1 at 3:46
Is the point of the plane $(0,0)$ (the origin) a point of intersection between the blue segment and the spiral? (Sorry, English is not my native language.)
â Ixion
Sep 1 at 3:48
Is the point of the plane $(0,0)$ (the origin) a point of intersection between the blue segment and the spiral? (Sorry, English is not my native language.)
â Ixion
Sep 1 at 3:48
:P I meant the problem notation
â Jason Kim
Sep 1 at 3:49
:P I meant the problem notation
â Jason Kim
Sep 1 at 3:49
Ah, ok. :) The question is not precise enough. I mean, if $thetain [0,+infty)$ then one of two consecutive points must be $(0,0)$, hence the distance between them is $theta$ for all $thetain [0,2pi)$ (by definition). If $thetain (0,+infty)$ then your solution is perfect.
â Ixion
Sep 1 at 3:57
Ah, ok. :) The question is not precise enough. I mean, if $thetain [0,+infty)$ then one of two consecutive points must be $(0,0)$, hence the distance between them is $theta$ for all $thetain [0,2pi)$ (by definition). If $thetain (0,+infty)$ then your solution is perfect.
â Ixion
Sep 1 at 3:57
add a comment |Â
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$r=theta$ means that the point that is $r$ away from the origin makes an angle $theta$ in the plane.
â Jason Kim
Sep 1 at 3:20
I know the graph $r=theta$ but I don't understand what the distance is that they are asking
â Pagaley 12
Sep 1 at 3:22
@Pagaley12
I don't understand what the distance is that they are asking
Does a ray from the origin intersect the spiral? Multiple times? Then the question is likely asking about the distance between two such consecutive intersections.â dxiv
Sep 1 at 3:24
I think they were asking for me to draw a straight line from the origin at any angle and see the distance between two points that it intersects on the spiral
â Pagaley 12
Sep 1 at 3:25
@Pagaley12 Right. The spiral is $,r = theta,$, think at the equation of a ray now.
â dxiv
Sep 1 at 3:30