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|lt1/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
L.H.S
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise EXERCISE 2.1|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise EXERCISE 2.2|17 Videos

  • INTEGRALS

    NCERT TAMIL|Exercise EXERCISE 7.12|44 Videos

  • LINEAR PROGRAMMING

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|5 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)))absxlt(1)/(sqrt(3)).

y = tan^(-1)((3x-x^(3))/(1-3x^(2))), find dy/dx.

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

y=tan^(-1)(x/(1+sqrt(1-x^2)))

Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot

Solve : tan^(-1)((2x)/(1-x^(2)))+cot^(-1)((1-x^(2))/(2x))=(pi)/(3),xgt0

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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

If tan^(-1)(3)+tan^(-1)(x)=tan^(-1)(8)," then "x=