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IMO Shortlist 1967 problem 4
1967
shortlist
Find values of the parameter
for which the expression
does not depend on
%V0 Find values of the parameter $u$ for which the expression $$y = \frac{ \tan(x-u) + \tan(x) + \tan(x+u)}{ \tan(x-u)\tan(x)\tan(x+u)}$$ does not depend on $x.$
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1300
IMO Shortlist 1967 problem 1
1967
shortlist
0
1298
IMO Shortlist 1967 problem 5
1967
shortlist
0
1297
IMO Shortlist 1967 problem 4
1967
shortlist
0
1296
IMO Shortlist 1967 problem 3
1967
shortlist
0
1295
IMO Shortlist 1967 problem 2
1967
shortlist
0
1293
IMO Shortlist 1967 problem 6
1967
shortlist
0