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Difference between revisions of "1995 AIME Problems/Problem 7"

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== See also ==
 
== See also ==
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* [[1995_AIME_Problems/Problem_6|Previous Problem]]
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* [[1995_AIME_Problems/Problem_8|Next Problem]]
 
* [[1995 AIME Problems]]
 
* [[1995 AIME Problems]]

Revision as of 01:16, 22 January 2007

Problem

Given that $\displaystyle (1+\sin t)(1+\cos t)=5/4$ and

$(1-\sin t)(1-\cos t)=\frac mn-\sqrt{k},$

where $\displaystyle k, m,$ and $\displaystyle n_{}$ are positive integers with $\displaystyle m_{}$ and $\displaystyle n_{}$ relatively prime, find $\displaystyle k+m+n.$

Solution

See also

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