Show that lobachevsky's basic triangle formulas transform into standard formulas of spherical trigonometry if one replaces the sides a,b,c of the triangle by ia, ib, ic, respectively. Assume that the angle C is a right angle. Formulas: sinAcot(productb)=sinBcot(producta), cosAcos(productb)cos(productc)...

posader86 2022-07-25 Answered
Show that lobachevsky's basic triangle formulas transform into standard formulas of spherical trigonometry if one replaces the sides a,b,c of the triangle by ia, ib, ic, respectively. Assume that the angle C is a right angle.
Formulas: sinAcot(productb)=sinBcot(producta), cosAcos(productb)cos(productc)...
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Answers (1)

Steppkelk
Answered 2022-07-26 Author has 11 answers
Since C is a right angle, sinA= a c
and sin B= b c
cos A= b c
putting the values, we have
a c o t b c b c o t a c
c o t b c o t a Copyright ©2011-2012 CUI WEI. All Rights Reserved. = b a
c o t i b c o t i a = b a
hence the answer remains the same..
[Question is not much clear..If you could just rewrite]
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