Home
Class 12
MATHS
If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(...

If `cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 tan^(-1) x`, then x is

A

`(a-b)/(1+ab)`

B

`(b-a)/(1 + ab)`

C

`(a +b)/(1 - ab)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If |a|lt1|b|lt1and|x|lt1 then the solution of sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2))) is

If sin^(-1)((2a)/(1+a^(2)))+cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((2x)/(1-x^(2))) where a, x in[0,1] , then the value of x is ______

Statement I Derivative of sin^(-1)((2x)/(1+x^(2)))w.r.t. cos^(-1)((1-x^(2))/(1+x^(2))) is 1 for 0ltxlt1. sin^(-1)((2x)/(1+x^(2)))=cos^(-1)((1-x^(2))/(1+x^(2))) for -1lexle1 (a)Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I(b)Statement I is correct but Statement II is incorrect

If 1/2tan^(- 1)((2x)/(x^2-1))+cos^(- 1)((x^2-1)/(x^2+1))=(2pi)/3 then x=

If (sin^(-1) a)^(2) +( cos^(-1) b)^(2) + ( sec^(-1)c)^(2) + ( cosec^(-1) d)^(2) = ( 5pi^(2))/2 " , then the value of " ( sin^(-1)a)^(2) - ( cos^(-1)b) ^(2) + ( sec^(-1)c)^(2) - ( cosec^(-1)d)^(2)

If y=cos^(-1)((1-x^(2))/(1+x^(2))), then Statement I (dy)/(dx)=(2)/(1+x^(2)) for x"inR Statement II cos^(-1)((1-x^(2))/(1+x^(2)))={(2tan^(-1)x,,x>=0,),(-2tan^(-1)x,,xlt0,):} (a)Both statement I and Statement II are correct (b)Statement I is correct but Statement II is incorrect

Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1) ((1-y^(2))/(1+ y^(2)))}

If a^(2)+b^(2)+c^(2) =-2 and f(x)= |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((1+a^(2))x,1+b^(2)x,(1+c^(2))x),((1+a^(2))x,(1+b^(2))x,1+c^(2)x):}| the f(x) is a polynomial of degree