Home
Class 12
MATHS
If tan^-1((x-2)/(x-4)) + tan^-1((x+2)/(x...

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

Promotional Banner

Topper's Solved these Questions

  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 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-1)/(x-2))+tan^-1((x+1)/(x+2))=pi/4, then find the value of x

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

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

Prove that : tan^-1((1-x)/(1+x))= pi/4 - tan^-1 x

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

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

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

If tan x = -(4)/(3), (pi)/(2) lt x lt pi , then find the value of sin(x/2), cos(x/2) and tan(x/2) .

MODERN PUBLICATION-INVERSE-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Write the value of tan^(-1)[2sin(2cos^(-1)""sqrt(3)/2)].

    Text Solution

    |

  2. show that tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)

    Text Solution

    |

  5. Show that 2sin^-1(3/5)-tan^-1(17/31) = pi/4

    Text Solution

    |

  6. Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)),...

    Text Solution

    |

  7. If tan^-1 x + tan^-1y - tan^-1z = 0, then prove that x + y + xyz = z.

    Text Solution

    |

  8. Let f(x) = sin (pi/6 sin (pi/2 sinx)) for all x inR and g(x) = pi/2 si...

    Text Solution

    |

  9. If alpha = 3 sin^(-1) (6/11) " and "beta = 3 cos^(-1) (4/9) , where ...

    Text Solution

    |

  10. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...

    Text Solution

    |

  11. Let f(-pi/2,pi/2) rarr R be given by (log(sec x + tan x))^3. Then

    Text Solution

    |

  12. A function f: Z rarrrZ is defined as below f(x) = {:{(x+3, if x is od...

    Text Solution

    |

  13. The number of linear functions satisfying f(x+f(x))=x+f(x),forall x ...

    Text Solution

    |

  14. If cot^-1 7 + cot^-1 8 + cot^-1 18 = cot^-1 k, then k is

    Text Solution

    |

  15. If f: R rarrR satisfying:f(x-f(y)) = f(f(y) +f(x)-1, for all x, y in R...

    Text Solution

    |

  16. Let a and b be constants f(x) = a sin x + bx cos x + 2x^2 If f(3) = 15...

    Text Solution

    |

  17. Number of solution of the equations: f(x-1) + f(x+1) = sin a, 0 < a , ...

    Text Solution

    |

  18. If A={1,2,3}, B={1,3,5,7,9}, the ratio of number of one-one functions ...

    Text Solution

    |

  19. The value of f(x) = x+2, then f(12)=K ,where K equals

    Text Solution

    |

  20. If a , b are two natural numbers in AP such that a + b = 12 The ...

    Text Solution

    |