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Difference between revisions of "Jadhav Angular Formula"

(→‎Applications)
(→‎Trigonometric Cosine function)
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'''Jadhav Angular Formula''' evaluates the '''angle between any two sides''' of any triangle given length of all the sides, invented by Indian mathematical scholar '''[[Jyotiraditya Jadhav|Jyotiraditya Jadhav.]]'''
 
'''Jadhav Angular Formula''' evaluates the '''angle between any two sides''' of any triangle given length of all the sides, invented by Indian mathematical scholar '''[[Jyotiraditya Jadhav|Jyotiraditya Jadhav.]]'''
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== Trigonometric Cosine function ==
 
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Now as in the figure of "Trigonometric Circle" as the angle theta increases and the transition line '''goes beyond 1st quadrant''', the value of some trigonometric functions change from positive to negative, like '''cosine function the ratio will be negative in the second and 3rd quadrant,''' the angle is '''always calculated from positive x-axis.''' So in-case cosine function inverse of the <math>a^2+b^2-c^2 /(2ab)</math>  is a negative value then the angle which gives exactly same ratio in positive will be considered and subtracted from <math>\measuredangle</math>180 or <math>\pi </math> radians (while dealing with radians) to get exact angle from x-axis.
 
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The generalized formula where the ratio would be (-x), then exact angle can be found like this:
 
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<math>\arccos (-x) =180 -\arccos (x)  </math> (while using degrees)
 
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<math>\arccos (-x) =\pi-\arccos (x)  </math> (while using radians)
 
  
 
== Other inventions by Jyotiraditya Jadhav ==
 
== Other inventions by Jyotiraditya Jadhav ==

Revision as of 22:14, 25 August 2021

Jadhav Angular Formula evaluates the angle between any two sides of any triangle given length of all the sides, invented by Indian mathematical scholar Jyotiraditya Jadhav.

Other inventions by Jyotiraditya Jadhav

Read more about Jyotiraditya Jadhav here.

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