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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Jan 2008 09:39:30 IST
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Find the value of (1+tan1) (1+tan2) (1+tan3) ... (1+tan 45). here the numbers are degrees i.e. tan 1 means tan(1 degree).
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Time wounds all heels |
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i think this is a good que.....
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.......
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this word is so small that it is a foolishness to hate anyone.
so, we love all. |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 18:43:07 IST
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this question came in the open test yersterday! whats the source?
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Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 18:55:27 IST
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So, who do you think set the paper?
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Time wounds all heels |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 19:00:40 IST
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it is 2^23. (tan A+1)(tan B+1) =2 if A+B =45 hope u like it
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 19:06:06 IST
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rocky, i think you meant A+B = 45o. Yeah you've got it.
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Time wounds all heels |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 19:06:55 IST
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sorry A+B=45 for above one
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 21:00:40 IST
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dont tell me u work in fiitjee..
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Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 21:21:02 IST
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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
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Time wounds all heels |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 11 Feb 2008 21:48:07 IST
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oh allright..anyway thanks to u, I didnt even how to do that problem. I remember the answer. In fact goiit is becoming quite famous. There were 3 questions in the test yesterday that were discussed in our forums.
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Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm
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