Home
Class 12
MATHS
If: A= tan^(-1)x, then: sin 2A=...

If: `A= tan^(-1)x`, then: sin 2A=

A

`(2x)/sqrt(1-x^(2))`

B

`(2x)/(1-x^(2))`

C

`(2x)/(1+x^(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MASTERING THE BEST - ALL TOPICS|128 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.1|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos
  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos
  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

If y=2 tan ^(-1) x + sin^(-1) ((2x)/(1+x^(2))) " then: " y in

Given that , tan^(-1) ((2x)/(1-x^(2))) = {{:(2 tan^(-1) x"," |x| le 1),(-pi +2 tan^(-1)x","x gt 1),(pi+2 tan^(-1)x"," x lt -1):} sin^(-1)((2x)/(1+x^(2))) ={{:(2 tan^(-1)x","|x|le1),(pi -2 tan^(-1)x","x gt 1 and ),(-(pi+2tan^(-1))","x lt -1):} sin^(-1) x + cos^(-1) x = pi//2 " for " - 1 le x le 1 If cos^(-1). (6x)/(1 + 9x^(2)) = - pi/2 + 2 tan^(-1) 3x" , then " x in

sin (tan ^(-1)2x)

Let f(x) = 2 tan^(-1)x + "sin"^(-1) (2x)/(1 + x^(2)) then

If x in(-1,0), then the function f(x)=2tan^(-1)(cos ecx)+tan^(-1)(2sin x sec^(2)x) may be equal to

Let f(x) = {(sin (tan^(-1) x) + sin (cot^(-1) x)}^2 - 1 , where |x| gt 1 and dy/dx = 1/2 d/dx (sin^(-1) f(x)) . If y(sqrt3) = pi/6 then y( -sqrt3)