Difference between revisions of "1988 AHSME Problems/Problem 13"

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==Problem==
 
==Problem==
  
If <math>\sin(x) =3 \cos(x) </math> then what is <math>\sin(x)\cos(x)</math>?
+
If <math>\sin(x) =3 \cos(x) </math> then what is <math>\sin(x) \cdot \cos(x)</math>?
  
 
<math>\textbf{(A)}\ \frac{1}{6}\qquad
 
<math>\textbf{(A)}\ \frac{1}{6}\qquad
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\textbf{(C)}\ \frac{2}{9}\qquad
 
\textbf{(C)}\ \frac{2}{9}\qquad
 
\textbf{(D)}\ \frac{1}{4}\qquad
 
\textbf{(D)}\ \frac{1}{4}\qquad
\textbf{(E)}\ \frac{3}{10} </math>  
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\textbf{(E)}\ \frac{3}{10} </math>
  
 
==Solution==
 
==Solution==

Revision as of 00:56, 23 October 2014

Problem

If $\sin(x) =3 \cos(x)$ then what is $\sin(x) \cdot \cos(x)$?

$\textbf{(A)}\ \frac{1}{6}\qquad \textbf{(B)}\ \frac{1}{5}\qquad \textbf{(C)}\ \frac{2}{9}\qquad \textbf{(D)}\ \frac{1}{4}\qquad \textbf{(E)}\ \frac{3}{10}$

Solution

See also

1988 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
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