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" ... cos x. In applying the above general rule to any particular example it will be found that the algebraic sign of the result is the same as the sign of the original function. Thus, sin 330° = sin (360° - 30°) = - sin 30°, the short way of determining... "
Plane Trigonometry - Page 89
by Fletcher Durell - 1910 - 184 pages
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An elementary treatise on algebra. [With] Key

James Thomson - 1844 - 328 pages
...by taking a = — a> , and (3 = 0. When x is assumed = a, in any of the quantities X, X,, &c., the sign of the result is the same as the sign of the first term of that quantity, the other terms vanishing in comparison of that one. The same is the case...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Thomson - Algebra - 1845 - 328 pages
...by taking o = — oo , and 3 = 0. When x is assumed = CD, in any of the quantities X, X,, &c., the sign of the result is the same as the sign of the first term of that quantity, the other terms vanishing in comparison of that one. The same is the case...
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Logarithmic and Trigonometric Tables

Fletcher Durell - Logarithms - 1911 - 336 pages
...like manner that, by the above rule, sin (360° — x) = — sin x ; also that sin (270° — #) = — cos x. In applying the above general rule to any particular...geometrical proofs for the above reduction formulas are, desired, such proofs may be obtained by following the methods of Art. 62. But in such proofs, when...
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...of (an odd multiple of 9(f ± a) is equal numerically to the corresponding cofunction of a. 3. The sign of the result is the same as the sign of the original function in the quadrant in which the angle (n-30°±a) lies. EXERCISES Express the following as functions of...
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BTEC First Mathematics for Technicians

Alec Greer, Graham William Taylor - Juvenile Nonfiction - 1982 - 358 pages
...whose signs are different, subtract the numerically smaller number from the numerically larger. The sign of the result is the same as the sign of the numerically larger number. d) To subtract a directed number change its sign and add the resulting number....
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Microprocessors and Microcomputer-Based System Design

Mohamed Rafiquzzaman - Computers - 1995 - 796 pages
...bits shifted out are not the same as the sign bit, an overflow is generated. If overflow occurs, the sign of the result is the same as the sign of the src operand. The shri instruction performs an arithmetic shift operation by shifting the sign bit in...
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Webmasters Guide To The Wireless Internet

Syngress - Computers - 2001 - 608 pages
...(integer division) and then assign; for example, x div= y is equivalent to x = x div y %= Remainder (the sign of the result is the same as the sign of the dividend) and then assign; for example, x %= y is equivalent to x = x % y Bitwise left shift and then...
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XQuery: The XML Query Language

Michael Brundage - Computers - 2004 - 538 pages
...then it raises an error. Otherwise, mod performs truncating division and returns the remainder. The sign of the result is the same as the sign of the left expression. Formally, the expression Ihs mod rhs returns the value x such that ( Ihs tdiv rhs)...
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The Essentials of Computer Organization and Architecture

Linda Null, Julia Lobur - Computers - 2006 - 840 pages
...the result; (2) If the signs differ, you must determine which operand has the larger magnitude. The sign of the result is the same as the sign of the operand with the larger magnitude, and the magnitude must be obtained by subtracting (not adding) the...
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Statistical Implicative Analysis: Theory and Applications

Régis Gras, Einoshin Suzuki, Fabrice Guillet, Filippo Spagnolo - Mathematics - 2008 - 511 pages
...terms with same sign, they know they have to add the two terms. However, they do not know that the sign of the result is the same as the sign of the terms. That is particularly visible when the two terms are negative. What they may be doing is that...
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