Home
Class 12
MATHS
If cos theta > sin theta > 0, then evalu...

If `cos theta > sin theta > 0,` then evaluate : `int{log((1+sin2theta)/(1-sin2theta))^(cos^(2) theta)+log((cos2theta)/(1+sin2theta))} d theta`

Text Solution

Verified by Experts

The correct Answer is:
`(sin 2 theta)/(2) log((cos theta+sin theta)/(cos theta- sin theta))+1/2 log |cos 2 theta|+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If cos theta>sin theta>0, then evaluate : int{log((1+sin2 theta)/(1-sin2 theta))^(cos^(2)theta)+log((cos2 theta)/(1+sin2 theta))}d theta

If costhetagtsinthetagt0 , then evaluate: int{log((1+sin2theta)/(1-sin2theta))^(cos2theta)+log((cos2theta)/(1+sin2theta))}d theta

If cos theta>sin theta>0 then I=int[ln[(1+sin2 theta)/(1-sin2 theta)]^(cos^(2)theta)+ln[(cos2 theta)/(1+sin2 theta)]]K sin2 theta ln[(cos theta+sin theta)/(cos theta-sin theta)]+m ln|cos2 theta|+c then k+m=

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta) =

(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)=2cos ec theta

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

" 4."(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)=(2)/(sin theta)

If p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin theta) , then

int_(0)^( pi)(sin theta+cos theta)/(sqrt(1+sin2 theta))d theta

If cot theta=(15)/(8), then Evaluate ((2+2sin theta)(1-sin theta))/((1+cos theta)(2-2cos theta))