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Jadhav Sin Function Theorem

From EverybodyWiki Bios & Wiki

Jadhav Sine Function Theorem is an alternative to old and complex Sine Function Theorem which was discovered by an Indian Mathematical scholar Jyotiraditya Jadhav. It was first recorded in a manuscript written by Jadhav himself titled Revised Trigonometric Sine Function Theorem and accepted after peer review by INTERNATIONAL JOURNAL OF ENGINEERING AND APPLIED SCIENCE TECHNOLOGY[1].

Jadhav Sine Function Theorem
Trigonometric Theorem
Definition
Jadhav Sine Function Theorem is an alternative to complex trigonometric theorems which is a result of pure geometric expressions and numeric patterns.
Details
ClassificationNew Trigonometric Theorem
ApplicationsAstronomy, Aerodynamics, Navigation etc.
AnglesAngle which is already known: x and set of angles which form the same sin ratio as angle x
Named afterJyotiraditya Jadhav
Invented byJyotiraditya Jadhav
FieldJadhav's Trigonometry
SubjectModern day Indian Trigonometry
Indian Invention

Jadhav Sine Function Theorem states:

If sin(x)=sin(y) such that x,yR

then y=(2n1)πcx or y=(2n1)180x

Applications

The uses of this formula based theorem are from various fields of Science and Technology which includes some fields like:

Constants

There is only one constant in the theorem πc/180. πc is used if the angle x is in radian measure and 180 is used if angle x is in degree measure.

Units

Angle

y

is obtained in the respective angular measures on the use of constants, if

πc

is used then the resultant angle

y

is obtained in radians, if

180

is used then the resultant angle would be in degrees.