Home
Class 12
MATHS
Integrate the following functions: (1-co...

Integrate the following functions: (1-cosx)/(1+cosx)

Text Solution

Verified by Experts

`(1-cosx)/(1+cosx) = (2 sin^2(x/2))/(2 cos^2(x/2))`
= `tan^2(x/2) = sec^2(x/2)-1`
therefore` int(1-cosx)/(1+cosx) dx = (tanx/2)/(1/2)-x+c`
`x+c-=2tan(x/2)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |134 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|22 Videos

Similar Questions

Explore conceptually related problems

Integrate the following functions 1/(1+cotx)

Integrate the following functions: cosx/(1+cosx)

Integrate the following functions 1/(1-tanx)

Integrate the following functions: cos(2x)/(cosx+sinx)^2

Integrate the following functions x cos^-1x

Integrate the following functions: 1/(cos(x-a) cos(x-b)

Integrate the following functions: sin^-1(cosx)

Integrate the following functions: (cosx-sinx)/(1+sin(2x)

Integrate the following functions 1/(x-sqrtx)

Integrate the following functions (1+logx)^2/x