Home
Class 12
MATHS
Express the following functions in the s...

Express the following functions in the simplest form :
`tan^-1(x/(sqrt(1-x^2))), |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

Write the following functions in the simplest form: tan^-1(x/(sqrt(a^2-x^2)))

Express the following functions in the simplest form : cot^-1(sqrt(1+x^2) - x)

Express the following functions in the simplest form : tan^-1(3x - x^3)/(1-3x^2), |x| < 1/sqrt3

Express the following functions in the simplest form : tan^-1((2sqrtx)/(1-x)), 0 le, x < 1

Write the following function in the simplest form : tan^-1 (1/sqrt(x^2-1)), |x|>1

Express the following functions in the simplest form : tan^-1 (sqrt((1-x)/(1+x))) , - 1 < x le 1

Write the following function in the simplest form: tan^-1 (x/sqrt(a^2 - x^2)), |x|

Write the following function in the simplest form: tan^-1 ((sqrt(1+x^2)-1)/x), xne0

Write the following functions in the simplest form: tan^-1((sqrt(1-cosx)/(1+cosx)), 0 < x< pi

Write the following functions in the simplest form: sin^-1 sqrt(1-x^2), o le x le 1

PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Write in simplest form : "tan"^(-1)(sqrt((1-"cos"x)/(1+"cos"x))),xltpi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Solve the following equations. cot^-1 x - cot^-1 (x+2) = pi/12, x > ...

    Text Solution

    |

  12. Solve the following equations: tan^-1((1-x)/(1+x)) = 1/2 tan^-1 x, x...

    Text Solution

    |

  13. Solve the 2 tan^-1 (cos x) = tan^-1 (2 cosec x).

    Text Solution

    |

  14. Solve the following equations. cos^-1((1-x^2)/(1+x^2)) + tan^-1 ((2x...

    Text Solution

    |

  15. Solve : 3 tan^-1(1/(2+sqrt3)) - tan^-1(1/x) = tan^-1(1/3)

    Text Solution

    |

  16. Solve the following equations. tan^-1 (x-1) + tan^-1 x + tan^-1 (x+1...

    Text Solution

    |

  17. Solve the following equations. tan^-1 (sqrt(x^2 + x) + sin^-1 sqrt(x...

    Text Solution

    |

  18. Solve the following equations. tan^-1 (x-1)/(x-2) + tan6-1 (x+1)/(x+...

    Text Solution

    |

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

    Text Solution

    |

  20. Solve the following equations. cos(tan^-1x) = sin (cot^-1 (3//4)

    Text Solution

    |