Hulabaloo Posted December 19, 2004 Report Share Posted December 19, 2004 I have to prove that there really is spherical tangent function, Tan(a))=(sin(a)sinC))/(sin(b)cos(a)-sin(a)cos(b)cos©), by using the Tan (a)=sin(a)/Cos(a).I've tried to solve it by inserting a sinus function and af cosinus function into the equation, but it doesn't really seems to work.What am I supposed to do? Link to comment Share on other sites More sharing options...
Tormod Posted December 19, 2004 Report Share Posted December 19, 2004 Welcome, Hulabaloo. I googled your function and the only page that came up is in Spanish: http://www.bib.uab.es/pub/locus/11359722n5p117.pdf Hope that is of any help...until Bo or any of our other maths wizards log on. Link to comment Share on other sites More sharing options...
pgrmdave Posted December 20, 2004 Report Share Posted December 20, 2004 Somewhat off topic, but why does your life (almost) depend on it? Link to comment Share on other sites More sharing options...
TINNY Posted December 20, 2004 Report Share Posted December 20, 2004 what is a spherical tangent function? Link to comment Share on other sites More sharing options...
Bo Posted December 20, 2004 Report Share Posted December 20, 2004 I have to prove that there really is spherical tangent function, Tan(a))=(sin(a)sinC))/(sin(b)cos(a)-sin(a)cos(b)cos©), by using the Tan (a)=sin(a)/Cos(a). I've tried to solve it by inserting a sinus function and af cosinus function into the equation, but it doesn't really seems to work. What am I supposed to do? Hi! and welcome to these fora! it doesn't work, since the formula you posted: Tan(a)=[sin(a)sin©]/[sin(b)cos(a)-sin(a)cos(b)cos©] doesn't hold for arbitrary a,b and c. To see this: you can rewrite the formula to:sin(:D/sin©-cos(:D*(tan(A)/tan©=1. Now take A=B=C=pi/4, and realize that tan(pi/4)=1. then you get: 1-cos(pi/4)=1. Since cos(pi/4) isn't zero (but sqrt(1/2)), this can't be true. so you might have made a typo?ps can anyone tell me why tormod makes strange posts about spanish cathedrals? :D Bo Link to comment Share on other sites More sharing options...
Tim_Lou Posted December 20, 2004 Report Share Posted December 20, 2004 what function is this? a polar one?or? man.. i sux at 3d geometry :D Link to comment Share on other sites More sharing options...
maddog Posted January 10, 2005 Report Share Posted January 10, 2005 I think as Bo said that Hulabalo may have made typo somewhere, ... ...I've tried to solve it by inserting a sinus function and af cosinus function into the equation, but it doesn't really seems to work.What am I supposed to do? Please tell me what a sinus function is (or a cosinus on for that matter) ? :) What I understood of your equation/problem you are looking for a simplification of a tangentfunction in spherical coordinates. Go to a library use one of the reference books on formulasand constants at the reference desk. Or, goto a website like the one by Wolfram Research(maker of Mathematica) or mathworks.com (maker or MATLAB). I think there is another onecalled efunda.org (do a google search on efunda). Hope this helps. Maddog Link to comment Share on other sites More sharing options...
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