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Or, "the arc whose cosine is x" is the same as "the angle whose cosine is x", because the length of the arc of the circle in radii is the same as the measurement of the angle in radians. [5] In computer programming languages, the inverse trigonometric functions are often called by the abbreviated forms asin, acos, atan. [6]
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
Fig. 1 – A triangle. The angles α (or A), β (or B), and γ (or C) are respectively opposite the sides a, b, and c.. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...
Pages in category "Inverse trigonometric functions" ... Inverse cosecant; Inverse cosine; Inverse cotangent; Inverse covercosine; Inverse coversine; Inverse excosecant;
The coversed cosine [26] or covercosine, abbreviated covercosin, covercos, or cvc In full analogy to the above-mentioned four functions another set of four "half-value" functions exists as well: The haversed sine [ 27 ] or haversine (Latin semiversus ), [ 28 ] [ 29 ] abbreviated haversin , semiversin , semiversinus , havers , hav , [ 30 ] [ 31 ...
For example, the sine of angle θ is defined as being the length of the opposite side divided by the length of the hypotenuse. The six trigonometric functions are defined for every real number , except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°).
The opposite side is the side that is opposite to angle A. ... is to remember facts and relationships in trigonometry. For example, the sine, cosine, ...