Difference between revisions of "1961 IMO Problems/Problem 3"

(IMO box)
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<math>\cos^n{x} - \sin^n{x} = 1</math>
 
<math>\cos^n{x} - \sin^n{x} = 1</math>
  
where ''n'' is a given positive integer.
+
where <math>n</math> is a given positive integer.
  
  
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==See Also==
 
==See Also==
 +
 +
{{IMO box|year=1961|num-b=2|num-a=4}}
  
 
[[1961 IMO Problems]]
 
[[1961 IMO Problems]]

Revision as of 20:16, 25 October 2007

Problem

Solve the equation

$\cos^n{x} - \sin^n{x} = 1$

where $n$ is a given positive integer.


Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

1961 IMO (Problems) • Resources
Preceded by
Problem 2
1 2 3 4 5 6 Followed by
Problem 4
All IMO Problems and Solutions

1961 IMO Problems