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5.4.5 Trigonometric Transformations

407006 ^HALFTAN ( symb → symb' )
Converts trigonometric functions to TAN of the half angle.
411006 ^TRIGTAN ( symb → symb' )
Convert sin and cos to tan of the same angle.
416006 ^TRIGext ( symb → symb' )
Applies sin^2+cos^2=1 to simplify trigonometric expressions. If flag -116 is set, tries to keep only sin, else only cos.
417006 ^HYP2EXPext ( symb → symb' )
Converts hyperbolic functions to exp and ln. Converts XROOT and ^ to exp and ln.
418006 ^EXPLNext ( symb → symb' )
Converts all transcendental functions to exp and ln.
419006 ^SERIESEXPLN ( symb → symb' )
Converts sqrt, ^ and XROOT to EXP/LN.
426006 ^TAN2SCext ( symb → symb' )
Converts tan to sin/cos.
429006 ^SIN2TCext ( symb → symb' )
Converts sin to cos*tan.
430006 ^ATAN2Sext ( symb → symb' )
Converts ATAN to ASIN using asin(x)=atan(x/sqrt(1-x^2)).
433006 ^ASIN2Text ( symb → symb' )
Converts ASIN to ATAN using asin(x)=atan(x/sqrt(1-x^2)).
436006 ^ASIN2Cext ( symb → symb' )
Converts ASIN to ACOS using asin(x)=pi/2-acos(x).
43A006 ^ACOS2Sext ( symb → symb' )
Converts ACOS to ASIN using acos(x)=pi/2-asin(x).
43F006 ^TAN2SC2ext ( symb → symb' )
Converts TAN to SIN/COS of the double angle. If flag -116 is set calls TAN2SC2, else TAN2CS2.
456006 ^LN2ext ( symb → symb' )
If symb contains x, returns -1/inv(-ln(x)), else ln(x). Used by SERIES.
457006 ^SINCOSext ( symb → symb' )
Converts exp and ln to exp*sin+cos and ln+i*atan.


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This document was generated by Carsten Dominik on May, 30 2005 using texi2html