Difference between revisions of "2007 iTest Problems/Problem 17"
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If <math>x</math> and <math>y</math> are acute angles such that <math>x+y=\frac{\pi}{4}</math> and <math>\tan{y}=\frac{1}{6}</math>, find the value of <math>\tan{x}</math>. | If <math>x</math> and <math>y</math> are acute angles such that <math>x+y=\frac{\pi}{4}</math> and <math>\tan{y}=\frac{1}{6}</math>, find the value of <math>\tan{x}</math>. | ||
| − | <math>\text{(A) }\frac{37\sqrt{2}-18}{71}\qquad | + | <math> \text{(A) }\frac{37\sqrt{2}-18}{71}\qquad |
\text{(B) }\frac{35\sqrt{2}-6}{71}\qquad | \text{(B) }\frac{35\sqrt{2}-6}{71}\qquad | ||
\text{(C) }\frac{35\sqrt{3}+12}{33}\qquad | \text{(C) }\frac{35\sqrt{3}+12}{33}\qquad | ||
Revision as of 05:04, 30 July 2016
Problem
If 
and 
are acute angles such that 
and 
, find the value of 
.
$\text{(A) }\frac{37\sqrt{2}-18}{71}\qquad \text{(B) }\frac{35\sqrt{2}-6}{71}\qquad \text{(C) }\frac{35\sqrt{3}+12}{33}\qquad \text{(D) }\frac{37\sqrt{3}+24}{33}\qquad \text{(E) }1\qquad \text{(F) }\frac{5}{7}\qquad \$ (Error compiling LaTeX. Unknown error_msg)
$\text{(G) }\frac{3}{7}\qquad \text{(H) }6\qquad \text{(I) }\frac{1}{6}\qquad \text{(J) }\frac{1}{2}\qquad \text{(K) }\frac{6}{7}\qquad \text{(L) }\frac{4}{7}\qquad \$ (Error compiling LaTeX. Unknown error_msg)
$\text{(M) }\sqrt{3}\qquad \text{(N) }\frac{\sqrt{3}}{3}\qquad \text{(O) }\frac{5}{6}\qquad \text{(P) }\frac{2}{3}\qquad \text{(Q) }\frac{1}{2007}\qquad\$ (Error compiling LaTeX. Unknown error_msg)
