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5.4.2 Trigonometric and Exponential Operators

408006 ^COS2TAN/2 ( symb → symb' )
x → (1-(tan(x/2))^2)/(1+(tan(x/2))^2)
40B006 ^SIN2TAN/2 ( symb → symb' )
x → 2 tan(x/2)/(1+(tan(x/2))^2)
40E006 ^TAN2TAN/2 ( symb → symb' )
x → 2 tan(x/2)/(1-(tan(x/2))^2)
412006 ^COS2TAN ( symb → symb2 )
x → 1/sqrt(1+(tan(x))^2)
414006 ^SIN2TAN ( symb → symb' )
x → tan(x)/sqrt(1+(tan(x))^2)
41A006 ^LNP12LN ( symb → symb' )
x → ln(x+1)
41B006 ^LOG2LN ( symb → symb' )
x → log(x)
41C006 ^ALOG2EXP ( symb → symb' )
x → alog(x)
41D006 ^EXPM2EXP ( symb → symb' )
x → exp(x)-1
41E006 ^SQRT2LNEXP ( symb → symb' )
x → exp(ln(x)/2)
41F006 ^sqrt2lnexp ( meta → meta' )
x → exp(ln(x)/2)
420006 ^TAN2EXP ( symb → symb' )
x → (exp(i2x)-1)/(i*(exp(i2x)+1))
422006 ^ASIN2LN ( symb → symb' )
x → = i*ln(x+sqrt(x^2-1))+pi/2.
424006 ^ACOS2LN ( symb → symb' )
x → ln(x+sqrt(x^2-1))/i
427006 ^TAN2SC ( symb → symb' )
x → sin(x)/cos(x)
42A006 ^SIN2TC ( symb → symb' )
x → cos(x)*tan(x)
42C006 ^COS2ext ( symb → symb' )
x → sqrt(1-(sin(x))^2).
42E006 ^SIN2ext ( symb → symb' )
x → sqrt(1-(cos(x))^2).
431006 ^ATAN2ASIN ( symb → symb' )
x → asin(x/sqrt(x^2+1))
434006 ^ASIN2ATAN ( symb → symb' )
x → atan(x/sqrt(1-x^2))
437006 ^ASIN2ACOS ( symb → symb' )
x → π/2-acos(x)
43C006 ^ACOS2ASIN ( symb → symb' )
x → π/2-asin(x)
43D006 ^ATAN2LNext ( symb → symb' )
x → i/2*ln((i+x)/(i-x))
440006 ^TAN2SC2 ( symb → symb' )
x → (1-cos(2x))/sin(2x)
442006 ^TAN2CS2 ( symb → symb' )
x → sin(2x)/(1+cos(2x))
444006 ^SIN2EXPext ( symb → symb' )
x → (e^(i*x)-1/e^(i*x))/(2i)
446006 ^COS2EXPext ( symb → symb' )
x → (e^(i*x)+1/e^(i*x))/2
448006 ^SINH2EXPext ( symb → symb' )
x → (e^x-1/e^x)/2
44A006 ^COSH2EXPext ( symb → symb' )
x → (e^x+1/e^x)/2
44C006 ^TANH2EXPext ( symb → symb' )
x → (e^2x-1)/(e^2x+1)
44E006 ^ASINH2LNext ( symb → symb' )
x → ln(x+sqrt(x^2+1))
450006 ^ACOSH2LNext ( symb → symb' )
x → ln(x+sqrt(x^2-1))
452006 ^ATANH2LNext ( symb → symb' )
x → ln((1+x)/(1-x))/2
454006 ^XROOT2ext ( symb1 symb2 → symb' )
x y → exp(ln(y)/x)
45A006 ^LN2ATAN ( symb → symb' )
x → ln(x)


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