Home
Class 12
MATHS
Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x...

Prove that `tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt(1)/(sqrt(3))`

Answer

Step by step text solution for Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt(1)/(sqrt(3)) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER - I

    ACCURATE PUBLICATION|Exercise Section - D|6 Videos
  • SAMPLE QUESTION PAPER - I

    ACCURATE PUBLICATION|Exercise Section - B|8 Videos
  • RELATION AND FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|11 Videos
  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - D|6 Videos

Similar Questions

Explore conceptually related problems

Prove that tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1

Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)), |x| < 1/sqrt3

Prove that tan^(-1)((x)/(1+sqrt(1-x^(2))))=(1)/(2)sin^(-1)x .

Solve tan^(-1)(x+3)+tan^(-1)(x-3)=tan^(-1)""(4)/(39)

Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4),|x|lt1

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

Prove that tan2x=(2tanx)/(1-tan^2 x)

Let tan^(-1) y = tan^(-1) x + tan^(-1) ((2x)/(1 -x^(2))), " where " |x| lt (1)/(sqrt3) . Then a value of y is

Differentiate tan^(-1) ((3x - x^3)/(1 - 3x^2)) w.r.t. tan^(-1)((2x)/(1 - x^2))

Solve : tan^(-1)((x-1)/(x+1))+tan^(-1)((2x-1)/(2x+1))=tan^(-1)""(23)/(36)