Update of /cvsroot/stack/stack-1-0/lang/en/doc
In directory sc8-pr-cvs1.sourceforge.net:/tmp/cvs-serv27286/lang/en/doc
Modified Files:
student_factsformula.php
Log Message:
Index: student_factsformula.php
===================================================================
RCS file: /cvsroot/stack/stack-1-0/lang/en/doc/student_factsformula.php,v
retrieving revision 1.3
retrieving revision 1.4
diff -C2 -d -r1.3 -r1.4
*** student_factsformula.php 14 Jul 2005 08:46:52 -0000 1.3
--- student_factsformula.php 29 Jul 2005 15:59:31 -0000 1.4
***************
*** 330,338 ****
\cos^2A={1+\cos 2A\over 2}$';
! $stackFact['trig_notes_notation']['name'] = 'A Note on Trigonometric Notation';
! $stackFact['trig_notes_notation']['fact'] = '$\sin^2 A$ is the notation used for $(\sin A)^2$. Similarly
! $\cos^2A$ means $(\cos A)^2$ etc. This notation is used with
! trigonometric and hyperbolic functions but with positive integer
! powers only.';
--- 330,353 ----
\cos^2A={1+\cos 2A\over 2}$';
! $stackFact['part_frac']['name'] = 'Partial Fraction Form';
! $stackFact['part_frac']['fact'] = '\noindent
! Partial Fraction Form is the result of reversing the process of adding fractions.
! It involves splitting a complicated rational expression into the sum of two or
! more simpler ones.\smallbreak \noindent
! Example: Find the partial form of
! $$\frac{5x + 14}{(x+1)(x+4)}$$
! $$\frac{5x + 14}{(x+1)(x+2)} = \frac{A}{x+1} + \frac{B}{x+4}$$
! $$5X+14=A(x+4) + B(x+1)$$
! Let $$x=-4$$
! Then $$5(-4) + 14 = 0 + B(-3)$$
! $$-6 = -3B$$
! $$B=2$$
! Let $$x =-1$$
! Then $$5(-1) + 14 = A(3) + 0$$
! $$9 = 3A$$
! $$A=3$$
! Hence the partial fraction form of
! $$\frac{5x + 14}{(x+1)(x+4)}$$ is
! $$\frac{3}{x+1} + \frac{2}{x+4}$$.';
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