Home
Class 12
MATHS
Prove that tan^-1 (x+sqrtx)/(1-xsqrtx)...

Prove that
`tan^-1 (x+sqrtx)/(1-xsqrtx) = tan^-1 x + tan^-1 sqrtx, 0 le x < 1`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos

  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos

Similar Questions

Explore conceptually related problems

Prove that tan^-1((sqrtx + sqrty)/(1 - (sqrtxy)) = tan^-1 sqrt x + tan^-1 sqrty , x > 0, y > 0, x y < 1

int tan^-1(sqrtx) dx

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

Prove that 2 tan^-1 sqrt((1- x)/(1+x))= x, -1 le x le 1

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

d/dx{tan^-1sqrtx} =

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

Prove that : tan^-1((2xsqrt(1-x^2))/(1-2x^2)) = 2 sin^-1 x when: 1/sqrt2 le x le 1/sqrt2

Prove that tan(sin^-1 x) = (x/(sqrt 1-x^2)), 1 x 1 < 1

Prove that cos(2 tan^-1 (sqrt((1-x)/(1+x)))) = x, - 1 < x le 1

PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Prove that tan^-1 sqrtx = sin^-1 sqrt(x/1+x) = 1/2cos^-1 ((1-x)/(1+x...

    Text Solution

    |

  2. Prove that tan^-1((sqrtx + sqrty)/(1 - (sqrtxy)) = tan^-1 sqrt x + t...

    Text Solution

    |

  3. Prove that tan^-1 (x+sqrtx)/(1-xsqrtx) = tan^-1 x + tan^-1 sqrtx, 0 ...

    Text Solution

    |

  4. Prove that 2 tan^-1 (1/x) = sin^-1 ((2x)/(1+x^2)), |x| ge 1

    Text Solution

    |

  5. Prove that sec (tan^-1( x/2)) = sqrt(4+x^2)/2

    Text Solution

    |

  6. Prove that sin(2 tan^-1(sqrt((1+x)/(1-x))) = sqrt(1-x^2) , - le x < ...

    Text Solution

    |

  7. tan^(-1) sqrt(x) = (1)/(2) cos^(-1) ((1-x)/(1+x)), x in [0, 1]

    Text Solution

    |

  8. Prove that cos(2 tan^-1 (sqrt((1-x)/(1+x)))) = x, - 1 < x le 1

    Text Solution

    |

  9. Prove that : tan^-1((6x-8x^3)/(1-12x^2))- tan^-1(4x/(1-4x^2)) = tan^-1...

    Text Solution

    |

  10. Write in the simplest form : tan^-1 (sin x/(1 + cos x))

    Text Solution

    |

  11. Write in simplest form : "tan"^(-1)(sqrt((1-"cos"x)/(1+"cos"x))),xltpi...

    Text Solution

    |

  12. Write the following in the simplest form tan^(-1)((cosx+sinx)/(cosx-...

    Text Solution

    |

  13. Express the following functions in the simplest form : tan^-1(x/(sqr...

    Text Solution

    |

  14. Express the following functions in the simplest form : tan^-1((2sqrt...

    Text Solution

    |

  15. Express the following functions in the simplest form : tan^-1 (sqrt(...

    Text Solution

    |

  16. Express the following functions in the simplest form : cot^-1(sqrt(1...

    Text Solution

    |

  17. Express the following functions in the simplest form : tan^-1(3x - x...

    Text Solution

    |

  18. Express the following functions in the simplest form : tan^-1 ((3a^2...

    Text Solution

    |

  19. Express the following functions in the simplest form : tan^-1 (a cos...

    Text Solution

    |

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

    Text Solution

    |