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~~Trigonometry~~

Trigonometry More Trigonometric Func.Elements of Trigonometry Properties of Trigonometric Functions~~Plane Trigonometry Result~~Spherical Trigonometry Result

~~Angular Measurement~~Trigonometrical Ratios Formula Involving Two Angles, and Multiple Angles Ratios of Certain Angles Properties of The Triangle The Triangle and Circle Solution of Triangles Regular Polygon and Circle Use of Subsidiary Angles Use of Subsidiary Angles De Moivre's Theorem Additional Formula

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Content

Plane Trigonometry
 Angular Measurement
 Sources and References

Plane Trigonometry

Angular Measurement

600 The unit of Circular measure is a Radian, and is the angle at the centre of a circle which subtends an arc equal to the radius. Hence 601 Circular measure of an angle=arcradius. 602 Circular measure of two right angles=3.14159⋯≡𝜋. 603 The unit of Centesimal measure is a Grade, and is the one-hundredth part of a right angle. 604 The unit of Sexagesimal measure is a Degree, and is the one-ninetieth part of a right angle. 605 To change degrees into grades, or circular measure, or vice versa, employ one of the three equations included in 𝐷90=𝐺100=2𝑅𝜋 where 𝐷, 𝐺, 𝐶 are respectively the numbers of degrees, grades, and radians in the angle considered.

Sources and References

https://archive.org/details/synopsis-of-elementary-results-in-pure-and-applied-mathematics-pdfdrive

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ID: 210800026 Last Updated: 8/26/2021 Revision: 0 Ref:

References

B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
Ayres, F. JR, Moyer, R.E., 1999, Schaum's Outlines: Trigonometry
Hopkings, W., 1833, Elements of Trigonometry

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