Difference between revisions of "1991 AHSME Problems/Problem 21"
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For all real numbers <math>x</math> except <math>x=0</math> and <math>x=1</math> the function <math>f(x)</math> is defined by <math>f(x/(1-x))=1/x</math>. Suppose <math>0\leq t\leq \pi/2</math>. What is the value of <math>f(\sec^2t)</math>? | For all real numbers <math>x</math> except <math>x=0</math> and <math>x=1</math> the function <math>f(x)</math> is defined by <math>f(x/(1-x))=1/x</math>. Suppose <math>0\leq t\leq \pi/2</math>. What is the value of <math>f(\sec^2t)</math>? | ||
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Revision as of 12:53, 5 July 2013
For all real numbers 
except 
and 
the function 
is defined by 
. Suppose 
. What is the value of 
?
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
