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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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| − | == Introduction ==
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| − | In any triangle given sides a,b and c , with '''longest side c''' the '''angle between the sides a and b''' can be found by:
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| − | <math>\measuredangle = \cos^-1 [{a^2+b^2-c^2}(2ab)^-1] </math>
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| − | ==== Nomenclature: ====
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| − | * '''Cosine function :''' The cosine function is one of the basic functions encountered in trigonometry (the others being the cosecant , cotangent, secant, sine , and tangent ). Let be an angle measured counterclockwise from the x -axis along the arc of the unit circle . Then is the horizontal coordinate of the arc endpoint.
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| − | * <math>a^2 </math>: square of length of one side among the angle
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| − | * <math>b^2 </math>: square of length of other side among the angle
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| − | * <math>c^2 </math> : square of length of the longest side/ opposite side to the angle
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| − | == Visual use ==
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| − | [[File:Jadhav Angular Formula.png|thumb|406x406px|Jadhav Angular Formula]]
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| − | Let the '''angle angle between side length a and b be Q'''
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| − | Now as per the equation angle Q will be:
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| − | <math>\measuredangle Q = \arccos [a^2+b^2-c^2/2ab] </math>
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| − | == Applications ==
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| − | * '''Astrophysics:''' For finding angles between the vector of celestial bodies.
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| − | * '''Aerodynamics:''' In finding the glide angle, angle of climb and various angles of attack.
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| − | * '''Navigation:''' In finding real time locations.
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| − | * '''Geography:''' In calculating distances between geographical locations.
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| − | * '''Geometry''': In finding angles between the two sides of any triangle.
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| − | * '''Robotics:''' In operating arms and for studying robotic movements through vectors.
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| − | * '''Teleportation and Quantum Physics:''' In studying oscillating motions of particles.
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| − | == Other inventions by Jyotiraditya Jadhav ==
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| − | * '''[[Jadhav Theorem|Jadhav Theorem]]'''
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| − | * '''[[Jadhav Triads]]'''
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| − | * '''[[Jadhav Isosceles Formula]]'''
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| − | * '''[[Jadhav Division Axiom]]'''
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| − | Read more about Jyotiraditya Jadhav '''[[Jyotiraditya Jadhav|here.]]'''
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