* Trigonometric functions of rational multiples of ( except when undefined ).

# REDIRECT Trigonometric functions # Sine, _cosine, _and_tangent

# REDIRECT Trigonometric functions

Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.

Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle.

Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles ( often right triangles ).

Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.

# REDIRECT Trigonometric functions

# REDIRECT Trigonometric functions # Reciprocal functions

Trigonometric functions can be expressed in terms of complex exponentiation.

# REDIRECT Trigonometric functions # Reciprocal functions

The graphs of the sine and Trigonometric functions # cosine | cosine functions are sinusoids of different phases.

* Trigonometric functions

Trigonometric polynomials are widely used, for example in trigonometric interpolation applied to the interpolation of periodic functions.

* Trigonometric functions and their inverses

Trigonometric functions are also applied when statisticians study seasonal periodicities, which are often represented by Fourier series.

# REDIRECT Trigonometric functions

# REDIRECT Trigonometric functions

# REDIRECT Trigonometric functions

# REDIRECT Trigonometric functions

# REDIRECT Trigonometric functions

( Top ): Trigonometric function sinθ for selected angles θ, π − θ, π + θ, and 2π − θ in the four quadrants.

* Trigonometric basis for increased wheel strength at reduced spoke angles ( Archived 2009-10-22 )

Papers three and four are " Fundamental Theorems of Analysis Generalized for Space " and " On the definition of the Trigonometric Functions ", which he had presented the previous year in Chicago at the Congress of Mathematicians held in connection with the World's Columbian Exhibition.

* Topographic, Trigonometric and Geodetic Surveying, by Herbert Michael Wilson ( 1912 ) pp. 566 – 574 are devoted to heliotropes

Various expansions can be used for evaluation of Trigonometric integrals, depending on the range of the argument.

** Great Trigonometric Survey of India officially gives ' Peak XV ' ( later to be named Mount Everest ) the height of.

In South America Bouguer noticed, as did George Everest in the 19th century Great Trigonometric Survey of India, that the astronomical vertical tended to be pulled in the direction of large mountain ranges, due to the gravitational attraction of these huge piles of rock.

To complete the proof, the identities found at Trigonometric symmetry, shifts, and periodicity may be employed.

* April 10 – Great Trigonometric Survey of India begins with the measurement of a baseline near Madras.

* April 10-Great Trigonometric Survey of India begins with the measurement of a baseline near Madras.

* Trigonometric Calculation of Vanishing Points Brief explanation of the rationale with an easy example

# REDIRECT Trigonometric polynomial

The subject of his doctoral thesis was Topics in the Theory of Uniqueness of Trigonometric Series.

The General Catalogue of Trigonometric Parallaxes, first published in 1952 and later superseded by the New GCTP ( now in its fourth edition ), covers nearly 9, 000 stars.

Sir George was largely responsible for completing the section of the Great Trigonometric Survey of India along the meridian arc from the south of India extending north to Nepal, a distance of approximately.

The Great Trigonometric Survey of India, started by the East India Company in 1802, then taken over by the British Raj after 1857 was notable as a successful effort on a larger scale and for accurately determining heights of Himalayan peaks from viewpoints over one hundred miles distant.

In particular, Kater's pendulums were used in the Great Trigonometric Survey of India.

The Principal Triangulation of Great Britain was begun by the Ordnance Survey in 1783, though not completed until 1853 ; and the Great Trigonometric Survey of India, which ultimately named and mapped Mount Everest and the other Himalayan peaks, was begun in 1801.

He entered the army, obtaining a commission in the 12th Regiment of Foot, then stationed in India, where he assisted William Lambton in the Great Trigonometric Survey.

* Edmund Landau: The Master Rigorist by Eli Maor, Trigonometric Delights, page 192.

Montgomerie in 1856 when he first spotted the peaks of the Karakoram from more than 200 km away during the Great Trigonometric Survey of India.

He wrote a standard two-volume work Trigonometric Series.

* Thomas Montgomerie of the Great Trigonometric Survey of India makes the first survey of the Karakoram Range, from Mount Haramukh, to the south, and designates the two most prominent peaks as K1 and K2.

She was the author of the Bright Star Catalogue, a compendium of information on the 9, 110 brightest stars in the sky ; she also co-authored The General Catalogue of Trigonometric Stellar Parallaxes, containing precise distance measurements to 8, 112 stars, information critical to understanding the kinematics of the Milky Way galaxy and the evolution of the solar neighborhood.