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Signs of trigonometric functions in each quadrant. All Students Take Calculus is a mnemonic for the sign of each trigonometric functions in each quadrant of the plane. The letters ASTC signify which of the trigonometric functions are positive, starting in the top right 1st quadrant and moving counterclockwise through quadrants 2 to 4.
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 ...
Conventionally, an abbreviation of each trigonometric function's name is used as its symbol in formulas. Today, the most common versions of these abbreviations are "sin" for sine, "cos" for cosine, "tan" or "tg" for tangent, "sec" for secant, "csc" or "cosec" for cosecant, and "cot" or "ctg" for cotangent.
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.
Abbreviations for “ante meridiem” and “post meridiem” ASAP. As soon as possible. BOGO. Buy one, get one. BOPUS. Buy online, pick up in store. ICYMI. An abbreviation meaning “in case you ...
sin – sine function. sinc – sinc function. sinh – hyperbolic sine function. siv – versine function. (Also written as ver, vers.) SL – special linear group. SO – special orthogonal group. SOC – second order condition. Soln – solution. Sp – symplectic group. Sp – trace of a matrix, from the German "spur" used for the trace.
Abbreviation Meaning s̅: without (s with an overbar) (from Latin sine) S: sacrum: S x: symptoms surgery (though deemed by some as inappropriate) S 1: first heart sound: S 2: second heart sound: S 3: third heart sound S 4: fourth heart sound S&O: salpingo-oophorectomy Sb: Scholar batch SAAG: serum–ascites albumin gradient SAB: staphylococcal ...
This is a list of common Latin abbreviations. Nearly all the abbreviations below have been adopted by Modern English . However, with some exceptions (for example, versus or modus operandi ), most of the Latin referent words and phrases are perceived as foreign to English.