Home
Class 12
MATHS
If y=2tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))...

If `y=2tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))` then ….. `ltylt......` .

Text Solution

Verified by Experts

The correct Answer is:
`-2piltylt2pi`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS - TRUE/FALSE|7 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|58 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS - OBJECTIVE TYPE QUESTIONS|18 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

Similar Questions

Explore conceptually related problems

If |x|le1 , then 2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) is equal to _____

Find (dy)/(dx) in the following y= sin^(-1) ((1-x^(2))/(1+ x^(2))), 0 lt x lt 1

Differentiate sin^(-1)((2x)/(1+x^(2))) w. r. t. tan^(-1)x, -1 lt x lt 1 .

Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3)) . Then a value of y is : (1) (3x-x^3)/(1-3x^2) (2) (3x+x^3)/(1-3x^2) (3) (3x-x^3)/(1+3x^2) (4) (3x+x^3)/(1+3x^2)

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

If sin^(-1)((2a)/(1+a^(2)))+sin^(-1)((2b)/(1+b^(2)))=2tan^(-1)x , then, x = ____

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

Prove that: tan^(-1)x+tan^(-1)(1/x)=pi/2

solve :sin^-1x+sin^-1 2x=pi/3