Home
Class 12
MATHS
If |x|le1, then 2tan^(-1)x+sin^(-1)((2x)...

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

A

`4tan^(-1)x`

B

0

C

`pi/2`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS - FILLERS|11 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

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

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS - LONG ANSWER TYPE QUESTIONS|8 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 y=2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) then ….. ltylt...... .

if 0 lt x lt 1 then tan^(-1) (sqrt(1-x^2)/(1+x^2)) is equal to (i) 1/2 cos^(-1)x (ii) cos^(-1)sqrt((1+x)/2) (iii) sin^(-1)sqrt((1-x)/2) (iv) 1/2 tan^(-1)((1+x)/(1-x))

sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to

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

sin(tan^(-1)x),|x|lt1 is equal to

The value of int _(-1)^(1) (x)/(sqrt(1-x^(2))). sin^(-1) (2xsqrt(1-x^(2)))dx is equal to

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