BIBHORR FORMULA - SHORTCUT TO TRIGONOMETRY

SUMMARY: The innovation is regarding a new mathematical equation that establishes a relation between the sides and angle of a right triangle without employing trigonometric functions like sine, cos and tan. The formula is a simplistic substitution to the plane and spherical trigonometry as it is rejects all the trigonometric functions. The formula proves useful in applied mathematics and other engineering related fields.

The equation named “Bibhorr formula” is notated in Hindi alphabets. The elements of a right triangle are also named in Hindi language. The full description of the formula can be obtained at  [ http://artofproblemsolving.com/wiki/index.php?title=Bibhorr_Formula ] and its proof can be obtained at [ https://proofwiki.org/wiki/Proof_of_Bibhorr_formula ]

INNOVATIVE FEATURES:

1. Solves aeronautical and civil engineering related, three dimensional problems using only a single mathematical equation.                                                                                                 
2. Provides accurate results regarding trigonometry related engineering problems as it does not rely on approximated trigonometric tables and functions.                                                   
3. Reduces the mathematical complexities related to engineering.

APPLICATION / UTILITY:

This innovation finds its applications in the following fields:

1. Astronomy: For finding distances between the astronomical bodies and objects.
2. Aerodynamics: In finding the glide angle, angle of climb and various angles of attack of an aircraft.
3. Aerospace Engineering: In finding the areas of vertical fins and main wings of an airplane.
4. Navigation: In finding real time distances between the locations.
5. Geography: In calculating distances between geographical locations.
6. Robotics: In operating arms and for studying robotic movements.
7. Civil Engineering: In analysing building structures and other architectures.

USAGE: The innovation is being used by individual learners / practitioners and as a base for further mathematical innovation identifying different approach to existing tedious calculations in other areas of applied maths.

COST EFFECTIVENESS: The efforts put in by engineers and mathematicians in tedious calculations using trigonometric functions is reduced significantly by using this single equation as an alternative computational method, thereby, reducing the man hours significantly in industrial and research organizations, hence increasing cost effectiveness and productivity.

COMMERCIALIZATION: As the innovation speeds up trigonometric calculations, it can be commercialized in industries that consume more time on mathematical calculations. The major industries that get impacted include space organizations, flight engineering, marine engineering and civil engineering industries. The innovation reduces time consumption on calculations, thereby improves industrial output. The calculations done with this innovative equation produce precise and accurate measurement results as opposed to the estimated results obtained through conventional trigonometric functions.