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Trignometry
Sambit Senapati's Avatar
Sambit Senapati
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10 Oct 2011 15:06:06 IST
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Find the value
Mathematics

 Find the value of-


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Sambit Senapati's Avatar

Sambit Senapati
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10 Oct 2011 15:06:56 IST
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 Find the value of
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Sambit Senapati
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11 Oct 2011 14:44:43 IST
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 Hint: Multiply and divide by sin1
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hemang
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11 Oct 2011 18:31:25 IST
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http://www.goiit.com/posts/list/algebra-remainder-1126596.htm

 

hey i did it by the way of congruences.....

i am working on this one.
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Sambit Senapati
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12 Oct 2011 11:20:27 IST
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 Ya I saw it on AoPS. By the way I'm still a beginner in congruences. Can you suggest a nice website to learn it?
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hemang
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12 Oct 2011 12:43:02 IST
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1/[sin45*sin46] + 1/[sin47*sin48] + …………. 1/[sin133*sin134]

 

Or, (1/sin1) {sin1/[sin45*sin46] + sin1/[sin47*sin48] + …………. +Sin1/[sin133*sin134]}

 

Or, (1/sin1) {sin(46-45)/[sin45*sin46] + sin(48-47)/[sin47*sin48] + …………. +Sin(134-133)/[sin133*sin134]}

 

Or,  (1/sin1) {(sin46cos45-cos46sin45)/[sin45*sin46] + (sin48cos47-cos48sin47)/[sin47*sin48] + …………. +(sin134cos133-cos134sin133)/[sin133*sin134]}

 

Or, (1/sin1){ cot45 – cot46 + cot47 – cot48 + ………..+ cot133 – cot134}

 

Or, (1/sin1){ cot45 – cot46 + cot47 – cot48 + ……+cot89 – cot90 + cot91 – cot92…..+ cot133 – cot134}

Also cot(180-x) = - cotx

 

Or, (1/sin1){ cot45 – cot46 + cot47 – cot48 + ……+cot89 – cot90 –cot89 +cot88…..- cot47 + cot46}

 

Or, (1/sin1) ( cot45 – cot90)

 

Or, (1/sin1) answer……….

 
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hemang
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12 Oct 2011 14:15:08 IST
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https://www.codecogs.com

 

this will help you with the latex thing. :-)

it is awesome...

and for that congruences thing i would say try to solve the thousands of problems on Aops...

which book you use? i mean for mathematics apart from iitjee??

 
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Sambit Senapati
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13 Oct 2011 14:47:12 IST
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 check your dashboard. i dont think it would be appropriate to have a conversation over here.
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Manasi
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6 Feb 2012 17:40:19 IST
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hemang has already solved the question!
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