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Integral Calculus

New kid on the Block

 Joined: 6 Jan 2009 Post: 20
6 Jan 2009 22:59:08 IST
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integration of 1/cos x-sin x) please give whole solution
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Integral Calculus

integration of 1/cos x-sin x) please give whole solution

Cool goIITian

Joined: 30 Nov 2008
Posts: 49
6 Jan 2009 23:10:27 IST
1 people liked this

my dear friend in this type problems always convert sinx and cox in terms of tan(x/2) and try to solve it.

sinx=2tan(x/2)/1+tan^2(x/2)

cos=1-tan^2(x/2)/1+tan^(x/2)

all the best for your exams.

Blazing goIITian

Joined: 8 Oct 2008
Posts: 8064
7 Jan 2009 14:58:59 IST
1 people liked this

hello dear..

this is quite simple question put..

cos x  =  (1  - tan 2 x / 2)  /  (1   +  tan 2 x / 2)

sin  x =  2 tan (x/2)   /  (1   +  tan 2 x / 2)

1    +   tan 2 x / 2   =  sec2  x/2

put  tan x/2   =   t

now solve .try it .........if u are not able to get the solution, than nudge i will provide u complete solution but plz try it once

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