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"The Lord's My Shepherd" is a Christian hymn. It is a metrical psalm commonly attributed to the English Puritan Francis Rous and based on the text of Psalm 23 in the Bible. The hymn first appeared in the Scots Metrical Psalter in 1650 traced to a parish in Aberdeenshire.
The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 45°. [ 1 ] In the table below, the label "Undefined" represents a ratio 1 : 0. {\displaystyle 1:0.}
The Lord Is My Shepherd is a sacred choral composition by John Rutter, a setting of Psalm 23. The work was published by Oxford University Press in 1978. [1] Marked "Slow but flowing", the music is in C major and 2/4 time. [2] Rutter composed it for Mel Olson and the Chancel Choir of the First United Methodist Church in Omaha, Nebraska. [2]
The fixed point iteration x n+1 = cos(x n) with initial value x 0 = −1 converges to the Dottie number. Zero is the only real fixed point of the sine function; in other words the only intersection of the sine function and the identity function is sin ( 0 ) = 0 {\displaystyle \sin(0)=0} .
John Speed's Genealogies recorded in the Sacred Scriptures (1611), bound into first King James Bible in quarto size (1612). The title of the first edition of the translation, in Early Modern English, was "THE HOLY BIBLE, Conteyning the Old Teſtament, AND THE NEW: Newly Tranſlated out of the Originall tongues: & with the former Tranſlations diligently compared and reuiſed, by his Maiesties ...
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.
Graphs of historical trigonometric functions compared with sin and cos – in the SVG file, hover over or click a graph to highlight it The ordinary sine function ( see note on etymology ) was sometimes historically called the sinus rectus ("straight sine"), to contrast it with the versed sine ( sinus versus ). [ 37 ]
The notations sin −1 (x), cos −1 (x), tan −1 (x), etc., as introduced by John Herschel in 1813, [7] [8] are often used as well in English-language sources, [1] much more than the also established sin [−1] (x), cos [−1] (x), tan [−1] (x) – conventions consistent with the notation of an inverse function, that is useful (for example ...