Difference between revisions of "1991 AHSME Problems/Problem 21"
m (→Solution) |
m (→Problem) |
||
| Line 2: | Line 2: | ||
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>? | ||
| + | |||
| + | <math>\text{(A) } sin^2\theta\quad | ||
| + | \text{(B) } cos^2\theta\quad | ||
| + | \text{(C) } tan^2\theta\quad | ||
| + | \text{(D) } cot^2\theta\quad | ||
| + | \text{(E) } csc^2\theta</math> | ||
== Solution == | == Solution == | ||
Revision as of 16:35, 28 September 2014
Problem
For all real numbers 
except 
and 
the function 
is defined by 
. Suppose 
. What is the value of 
?
Solution
See also
| 1991 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
