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Trignometric Identities

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Boris
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PostSubject: Trignometric Identities Sat Mar 07, 2009 3:56 pm

hey frndz I am havin problem in these question:-

1. cosec^6A-cot^6A=3cot^2A cosec^2A+1

2. sec^6A-tan^6A=1+3tan^2A+3tan^4A


I have used '^' sign to show 'to the power of '

pls post the ans soon


Last edited by Boris Prashant on Sat Mar 07, 2009 8:49 pm; edited 1 time in total
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Shruti !!!
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PostSubject: Re: Trignometric Identities Sat Mar 07, 2009 8:20 pm

hey
phewwww... head breakin sum wit silly ans...
the second one is simple..



L.H.S

(sec2A)3 -tan6A

(1+tan­­2A)3 –tan6A

apply this........ (a2+b2)3

1+tan6A+3tan2A+3tan4A-tan6A

1+3tan2A+3tan4A

L.H.S =RHS
i'll post the first one soon!!!!


Last edited by Shruti Saha on Sat Mar 07, 2009 10:10 pm; edited 1 time in total
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Boris
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PostSubject: Re: Trignometric Identities Sat Mar 07, 2009 8:42 pm

thanxxx

and sorry I posted the Topic Heading wrong
It shud be " Trignometric Identities "

I hav corrected it
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QUEST
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PostSubject: Re: Trignometric Identities Sat Mar 07, 2009 8:55 pm

cosec^2 A) ^3 - (cot^2A)^3 =
(cosec^2A - cot^2 A)^ 3 +
3( cosec^2A.cot^2A)( cosec^2A - cot^2A)

= 1 + 3 ( cosec^2A.cot^2A).

( Use formula ; a^3 - b ^3 = ( a - b ) ^3 + 3 ab( a - b )
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siya
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PostSubject: Re: Trignometric Identities Sat Mar 07, 2009 9:04 pm

hey qest...in ur soln...i think one thing i rong..i.e,
(cosec^2 A) ^3 - (cot^2A)^3 = ((cosec^2A - cot^2 A))^3 +
3( cosec^2A.cot^2A)( cosec^2A - cot^2A)=(1)^3+
3 ( cosec^2A.cot^2A).
=1+3 ( cosec^2A.cot^2A).
d difference is only in 2nd line...u dit put d power 3 on(cosec^2A - cot^2 A)...
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QUEST
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PostSubject: Re: Trignometric Identities Sat Mar 07, 2009 9:17 pm

??????
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siya
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PostSubject: Re: Trignometric Identities Sun Mar 08, 2009 12:52 pm

hey hey hey hey.....sorrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrryyyyy Embarassed Embarassed Embarassed Embarassed Embarassed ....i read rong...i think i l have 2 go for n eyesight test 2day...i dint read d power 3 on it....sorrrrrrrrry...
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Apurva
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PostSubject: Re: Trignometric Identities Sun Mar 08, 2009 1:31 pm

siya aaj to eye sight test ke liye mat hi jao
kal chale jaana
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siya
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PostSubject: Re: Trignometric Identities Sun Mar 08, 2009 1:58 pm

hehehhe yeah sure!!
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