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Integral Calculus

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Joined:	6 Jan 2009
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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

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venkat

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Joined: 30 Nov 2008

Posts: 49

6 Jan 2009 23:10:27 IST

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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.

reply is must.

Sagar Saxena

Blazing goIITian

Joined: 8 Oct 2008

Posts: 8064

7 Jan 2009 14:58:59 IST

Like 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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