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

If `tan^-1 ((x-1)/(x-2))+tan^-1((x+1)/(x+2))=pi/4,` then find the value of x

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)=(1)/(2)=>x=pm(1)/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES SECTION V|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION I) MCQ |5 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES SECTION III|9 Videos
  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos
  • LINEAR PROGRAMMING

    BETTER CHOICE PUBLICATION|Exercise Previous Years Board.s Questions For Practice|10 Videos

Similar Questions

Explore conceptually related problems

If tan^-1((x-1)/(x-2)) + tan((x+1)/(x+2)) = pi/4 , then find the value of 'x'.

If tan^-1((x-2)/(x-4)) + tan^-1((x+2)/(x+4)) = pi/4 find the value of 'x'.

If tan^-1 2x + tan^-1 3x = pi/2 , then the value of x is equal to

Solve : ((tan^-1 ((2x-3)/(2x-5)) + tan^-1((2x+3)/(2x+5)))=pi/4) .

If cos^(-1).(6x)/(1 + 9x^(2)) = -(pi)/(2) + 2 tan^(-1) 3x , then find the values of x

If tan^-1 x + tan^-1y = pi/4, xy < 1, then write the value of x +y + xy.

Solve the Equation : tan^-1 ((x-1)/(x+2)) + tan^-1 ((2x-1)/(2x+1)) = tan^-1 23/36

If y = tan^-1 ((2x)/(1-x^2)) + sec^-1((1+x^2)/(1+x^2)) , find dy/dx

Let x_(1) , x_(2) , x_(3) be the solution of tan^(-1) ((2x + 1)/(x +1 )) + tan ^(-1) ((2x - 1)/( x -1 )) = 2 tan ^(-1) ( x + 1) " where x_1 2x_(1) + x_(2) + x_(3)^(2) is equal to

Solve for x : tan^-1(x + 2) + tan^-1 (x - 2) = pi/4, x > O