[Emacs-diffs] Changes to emacs/man/calc.texi

[Jay Belanger]

Index: emacs/man/calc.texi
diff -c emacs/man/calc.texi:1.47 emacs/man/calc.texi:1.48
*** emacs/man/calc.texi:1.47    Fri Feb 11 05:44:58 2005
--- emacs/man/calc.texi Tue Mar  1 04:53:02 2005
***************
*** 18473,18478 ****
--- 18473,18497 ----
  vector as an argument and computes @code{arctan2} of the elements.
  (This command does not accept the Hyperbolic flag.)
  
+ @pindex calc-sec
+ @tindex sec
+ @pindex calc-csc
+ @tindex csc
+ @pindex calc-cot
+ @tindex cot
+ @pindex calc-sech
+ @tindex sech
+ @pindex calc-csch
+ @tindex csch
+ @pindex calc-coth
+ @tindex coth
+ The remaining trigonometric functions, @code{calc-sec} address@hidden,
+ @code{calc-csc} address@hidden and @code{calc-sec} address@hidden, are also
+ available.  With the Hyperbolic flag, these compute their hyperbolic
+ counterparts, which are also available separately as @code{calc-sech}
+ address@hidden, @code{calc-csch} address@hidden and @code{calc-sech}
+ address@hidden  (These commmands do not accept the Inverse flag.)
+ 
  @node Advanced Math Functions, Branch Cuts, Trigonometric and Hyperbolic 
Functions, Scientific Functions
  @section Advanced Mathematical Functions
  
***************
*** 22730,22747 ****
  \bigskip
  @end tex
  
! Trigonometric functions are simplified in several ways.  First,
! @address@hidden(@tfn{arcsin}(x))} is simplified to @expr{x}, and
! similarly for @code{cos} and @code{tan}.  If the argument to
! @code{sin} is negative-looking, it is simplified to 
! @address@hidden(x),},  and similarly for @code{cos} and @code{tan}.
! Finally, certain special values of the argument are recognized;
! @pxref{Trigonometric and Hyperbolic Functions}.
! 
  Trigonometric functions of inverses of different trigonometric
  functions can also be simplified, as in @address@hidden(@tfn{arccos}(x))}
  to @address@hidden(1 - x^2)}.
  
  Hyperbolic functions of their inverses and of negative-looking
  arguments are also handled, as are exponentials of inverse
  hyperbolic functions.
--- 22749,22775 ----
  \bigskip
  @end tex
  
! Trigonometric functions are simplified in several ways.  Whenever a
! products of two trigonometric functions can be replaced by a single
! function, the replacement is made; for example,
! @address@hidden(x) @tfn{cos}(x)} is simplified to @address@hidden(x)}. 
! Reciprocals of trigonometric functions are replaced by their reciprocal
! function; for example, @expr{1/@tfn{sec}(x)} is simplified to
! @address@hidden(x)}.  The corresponding simplifications for the
! hyperbolic functions are also handled.
! 
! Trigonometric functions of their inverse functions are
! simplified. The expression @address@hidden(@tfn{arcsin}(x))} is
! simplified to @expr{x}, and similarly for @code{cos} and @code{tan}.  
  Trigonometric functions of inverses of different trigonometric
  functions can also be simplified, as in @address@hidden(@tfn{arccos}(x))}
  to @address@hidden(1 - x^2)}.
  
+ If the argument to @code{sin} is negative-looking, it is simplified to
+ @address@hidden(x)}, and similarly for @code{cos} and @code{tan}.
+ Finally, certain special values of the argument are recognized;
+ @pxref{Trigonometric and Hyperbolic Functions}.
+ 
  Hyperbolic functions of their inverses and of negative-looking
  arguments are also handled, as are exponentials of inverse
  hyperbolic functions.