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5.5.3 Trigonometric and Exponential Operators

409006 ^cos2tan/2 ( meta → meta' )
x → (1-(tan(x/2))^2)/(1+(tan(x/2))^2)
40A006 ^1-x^2/1+x^2 ( meta → meta' )
x → (1-x^2)/(1+x^2)
40C006 ^sin2tan/2 ( meta → meta' )
x → 2 tan(x/2)/(1+(tan(x/2))^2)
40D006 ^2x/1+x^2 ( meta → meta' )
x → 2x/(1+x^2)
40F006 ^tan2tan/2 ( meta → meta' )
x → 2 tan(x/2)/(1-(tan(x/2))^2)
410006 ^addtTAN/2 ( meta → meta' )
x → tan(x/2)
413006 ^cos2tan ( meta → meta' )
x → 1/sqrt(1+(tan(x))^2)
415006 ^sin2tan ( meta → meta' )
x → tan(x)/sqrt(1+(tan(x))^2)
421006 ^tan2exp ( meta → meta' )
x → (exp(i2x)-1)/(i*(exp(i2x)+1))
423006 ^asin2ln ( meta → meta' )
x → = i*ln(x+sqrt(x^2-1))+π/2.
425006 ^acos2ln ( meta → meta' )
x → ln(x+sqrt(x^2-1))/i
428006 ^sin/cos ( meta → meta' )
x → sin(x)/cos(x)
42B006 ^cos*tan ( meta → meta' )
x → cos(x)*tan(x)
42D006 ^sqrt1-sin^2 ( meta → meta' )
x → sqrt(1-(sin(x))^2).
42F006 ^sqrt1-cos^2 ( meta → meta' )
x → sqrt(1-(cos(x))^2).
432006 ^atan2asin ( meta → meta' )
x → asin(x/sqrt(x^2+1))
435006 ^asin2atan ( meta → meta' )
x → atan(x/sqrt(1-x^2))
438006 ^pi/2-acos ( meta → meta' )
x → π/2-acos(x)
439006 ^pi/2-meta ( meta → meta' )
x → π/2-x
43B006 ^pi/2-asin ( meta → meta' )
x → π/2-asin(x)
43E006 ^atan2ln ( meta → meta' )
x → i/2*ln((i+x)/(i-x))
441006 ^2*1-cos/sin ( meta → meta' )
x → (1-cos(2x))/sin(2x)
443006 ^2*sin/1+cos ( meta → meta' )
x → sin(2x)/(1+cos(2x))
445006 ^sin2exp ( meta → meta' )
x → (e^(i*x)-1/e^(i*x))/(2i)
447006 ^cos2exp ( meta → meta' )
x → (e^(i*x)+1/e^(i*x))/2
449006 ^sinh2exp ( meta → meta' )
x → (e^x-1/e^x)/2
44B006 ^cosh2exp ( meta → meta' )
x → (e^x+1/e^x)/2
44D006 ^tanh2exp ( meta → meta' )
x → (e^2x-1)/(e^2x+1)
44F006 ^asinh2ln ( meta → meta' )
x → ln(x+sqrt(x^2+1))
451006 ^acosh2ln ( meta → meta' )
x → ln(x+sqrt(x^2-1))
453006 ^atanh2ln ( meta → meta' )
x → ln((1+x)/(1-x))/2
455006 ^xroot2expln ( meta1 meta2 → meta' )
x y → exp(ln(y)/x)
458006 ^exp2sincos ( meta → meta' )
Returns EXP of meta as EXP[RE]*[COS+i*SIN].


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