https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Retrob&feedformat=atomAoPS Wiki - User contributions [en]2022-01-22T11:42:34ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=97759Bibhorr Formula2018-09-09T10:45:48Z<p>Retrob: </p>
<hr />
<div>Bibhorr formula yields a [[equation|relation]] between three sides and [[angle]] of a [[right triangle]]. The [[angle]] which is equated to linear [[variable|variables]] is the Bibhorr [[angle]].<br />
The [[equation|formula]] is a superior alternative to [[trigonometry]] as it is devoid of [[sine]] and [[cosine]] functions. The [[equation]] establishes a [[geometry|geometric]] construction among the elements of a [[triangle]] as opposed to [[trigonometry]].<br />
<br />
==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the [[angle]] opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical [[notation|notations]] use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the [[equation|formula]] more legible. These [[constant|constants]] are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr [[angle]] depend on the the units of Bibhorr sthiron. If this [[constant|constants]] is <math>90^{\circ}</math> then [[angle]] is in [[Degree (geometry)|degrees]] but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr [[angle]] results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or [[hypotenuse]]. Now, the [[angle]] opposite AC, called Bibhorr [[angle]] is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
*[[Trigonometry]]<br />
*[[Geometry]]<br />
*[[Right triangle]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=97758Bibhorr Formula2018-09-09T07:47:44Z<p>Retrob: /* Statement */</p>
<hr />
<div>Bibhorr formula yields a [[equation|relation]] between three sides and [[angle]] of a [[right triangle]]. The [[angle]] which is equated to linear [[variable|variables]] is the Bibhorr [[angle]].<br />
The [[equation|formula]] is a superior alternative to [[trigonometry]] as is devoid of any [[sine]] and [[cosine]] functions. The [[equation]] establishes a [[geometry|geometric]] construction among the elements of a [[triangle]] as opposed to [[trigonometry]].<br />
<br />
==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the [[angle]] opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical [[notation|notations]] use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the [[equation|formula]] more legible. These [[constant|constants]] are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr [[angle]] depend on the the units of Bibhorr sthiron. If this [[constant|constants]] is <math>90^{\circ}</math> then [[angle]] is in [[Degree (geometry)|degrees]] but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr [[angle]] results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or [[hypotenuse]]. Now, the [[angle]] opposite AC, called Bibhorr [[angle]] is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
*[[Trigonometry]]<br />
*[[Geometry]]<br />
*[[Right triangle]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=97750Bibhorr Formula2018-09-08T21:32:02Z<p>Retrob: /* See also */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the [[angle]] opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical [[notation|notations]] use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the [[equation|formula]] more legible. These [[constant|constants]] are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr [[angle]] depend on the the units of Bibhorr sthiron. If this [[constant|constants]] is <math>90^{\circ}</math> then [[angle]] is in [[Degree (geometry)|degrees]] but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr [[angle]] results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or [[hypotenuse]]. Now, the [[angle]] opposite AC, called Bibhorr [[angle]] is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
*[[Trigonometry]]<br />
*[[Geometry]]<br />
*[[Right triangle]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=97749Bibhorr Formula2018-09-08T21:26:27Z<p>Retrob: /* Explanation */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the [[angle]] opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical [[notation|notations]] use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the [[equation|formula]] more legible. These [[constant|constants]] are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr [[angle]] depend on the the units of Bibhorr sthiron. If this [[constant|constants]] is <math>90^{\circ}</math> then [[angle]] is in [[Degree (geometry)|degrees]] but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr [[angle]] results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or [[hypotenuse]]. Now, the [[angle]] opposite AC, called Bibhorr [[angle]] is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=97748Bibhorr Formula2018-09-08T21:25:03Z<p>Retrob: /* Units */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the [[angle]] opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical [[notation|notations]] use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the [[equation|formula]] more legible. These [[constant|constants]] are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr [[angle]] depend on the the units of Bibhorr sthiron. If this [[constant|constants]] is <math>90^{\circ}</math> then [[angle]] is in [[Degree (geometry)|degrees]] but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr [[angle]] results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=97747Bibhorr Formula2018-09-08T21:22:03Z<p>Retrob: /* Constants */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the [[angle]] opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical [[notation|notations]] use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the [[equation|formula]] more legible. These [[constant|constants]] are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr angle depend on the the units of Bibhorr sthiron. If this constant is <math>90^{\circ}</math> then angle is in degrees but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr angle results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=97746Bibhorr Formula2018-09-08T21:19:43Z<p>Retrob: /* Statement */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the [[angle]] opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical [[notation|notations]] use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the formula more legible. These constants are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr angle depend on the the units of Bibhorr sthiron. If this constant is <math>90^{\circ}</math> then angle is in degrees but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr angle results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96864Bibhorr Formula2018-08-08T07:21:24Z<p>Retrob: /* Units */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the formula more legible. These constants are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr angle depend on the the units of Bibhorr sthiron. If this constant is <math>90^{\circ}</math> then angle is in degrees but if Bibhorr sthiron is in the form <math>\frac{\pi}{2}</math> then Bibhorr angle results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96863Bibhorr Formula2018-08-08T07:16:38Z<p>Retrob: /* Units */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.<br />
<br />
==Constants==<br />
The use of two [[constant|constants]] - <math>90^{\circ}</math> or <math>\frac{\pi}{2}</math> and <math>1.5</math> makes the formula more legible. These constants are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Units==<br />
The units of Bibhorr angle depend on the the units of Bibhorr sthiron. If this constant is <math>90^{\circ}</math> then angle is in degrees but if Bibhorr sthiron is <math>\frac{\pi}{2}</math> then Bibhorr angle results in [[radian|radians]].<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96828Bibhorr Formula2018-08-07T15:14:05Z<p>Retrob: /* Explanation */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.<br />
<br />
==Units==<br />
The use of two [[constant|constants]] - 90º or π/2 and 1.5 makes the formula more legible. These constants are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96825Bibhorr Formula2018-08-07T10:03:02Z<p>Retrob: /* Explanation */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.<br />
<br />
==Units==<br />
The use of two [[constant|constants]] - 90º or π/2 and 1.5 makes the formula more legible. These constants are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
[[File:download.png|250px]]<br />
<br />
==See also==<br />
[[Trigonometry]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96824Bibhorr Formula2018-08-07T09:58:41Z<p>Retrob: /* Units */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.<br />
<br />
==Units==<br />
The use of two [[constant|constants]] - 90º or π/2 and 1.5 makes the formula more legible. These constants are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.<br />
<br />
==Explanation==<br />
[[File:Bibhorrformula.jpg]]<br />
Consider a [[right triangle]] ABC, such that BC and AC are shortest and medium sides respectively and AB is the longest side or hypotenuse. Now, the angle opposite AC, called Bibhorr angle is given as:<br />
[[File:download.png|250px]]</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=File:Bibhorrformula.jpg&diff=96823File:Bibhorrformula.jpg2018-08-07T09:51:49Z<p>Retrob: </p>
<hr />
<div></div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96822Bibhorr Formula2018-08-07T09:49:37Z<p>Retrob: /* Units */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.<br />
<br />
==Units==<br />
The use of two [[constant|constants]] - 90º or π/2 and 1.5 makes the formula more legible. These constants are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96821Bibhorr Formula2018-08-07T09:48:51Z<p>Retrob: /* Statement */</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.<br />
<br />
==Units==<br />
The use of two [[constant|constants]] - 90º or π/2 and 1.5 makes the formula more legible. These constants are are known as "Bibhorr sthiron" and "Bibhorr constant" respectively.</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula&diff=96820Bibhorr Formula2018-08-07T09:39:39Z<p>Retrob: Created page with "==Statement== For a given right triangle with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि i..."</p>
<hr />
<div>==Statement==<br />
For a given [[right triangle]] with longest side श्र, medium side लं and shortest side छ, the angle opposite the medium side (Bibhorr angle) बि is given as:<br />
<br />
[[File:download.png|250px]]<br />
<br />
This [[equation]] is known as Bibhorr formula. The symbolical notations use Hindi letters and specifically denote the sides.</div>Retrobhttps://artofproblemsolving.com/wiki/index.php?title=File:Download.png&diff=96819File:Download.png2018-08-07T09:26:52Z<p>Retrob: </p>
<hr />
<div></div>Retrob