11 Feb 2008 21:21:02 IST
i was joking man. i found it in a book called 103 Trigonometry Problems by Titu Andreescu and Zuming Feng under Introductory Problems. Nice book, but under Advanced Problems you find some beasty problems which only IMO guys find exciting
1+ tan 1 = 1 + tan(45-44)
= 1 + 1-tan44
---------
1+ tan44
= 2/(1+ tan 44)
and it will get canceled out with (1+ tan 44) leaving a remainder of 2...
in this way u will finally cancel out (1+ tan 22) and (1+ tan 23)
leaving with u:
2^22 *(1+ tan 45)
finally u get:
2^23
hope u got it now.......