Home
Class 12
MATHS
Write in simplest form : "tan"^(-1)(sqrt...

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

Text Solution

Verified by Experts

The correct Answer is:
`x/(2)`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions |20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions |20 Videos

  • INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |52 Videos

  • LINEAR PROGRAMMING

    OMEGA PUBLICATION|Exercise Question (Miscellaneous Exercise) |8 Videos

Similar Questions

Explore conceptually related problems

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

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

Write the following function in the simplest form: tan^-1 (( sqrt(1+cosx) / sqrt(1-cosx))))

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

Write the following in the simplest form: tan^-1((cos x)/(1-sinx)), - pi/2 < x < pi/2

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

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

OMEGA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -Important Questions from Miscellaneous Exercise
  1. Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos...

    Text Solution

    |

  2. Prove that sin^(-1)(2x.sqrt(1-x^(2)))=2cos^(-1)x,(1)/(sqrt(2))lexlt1

    Text Solution

    |

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

    Text Solution

    |

  4. Write the tan^-1 (frac{cos x - sin x}{cos x + sin x)), x < pi. in the ...

    Text Solution

    |

  5. Prove that tan^(-1)""(1)/(2)+tan^(-1)""(1)/(5)+tan^(-1)""(1)/(8)=(pi...

    Text Solution

    |

  6. Prove that : cos^-1 (4/5) + cos^-1(12/13) = cos^-1 (33/65)

    Text Solution

    |

  7. Write tan^(-1)((x)/(sqrt(a^(2)-x^(2)))) in simplest form.

    Text Solution

    |

  8. Write tan^(-1)((sqrt(1+x^(2))-1)/(x)),xne0 simplest form.

    Text Solution

    |

  9. Find the value of cos^(-1)(cos""(13pi)/(6))

    Text Solution

    |

  10. What is the principal value of "cos"^(-1)("cos"(2pi)/(3))+"sin"^(-1)("...

    Text Solution

    |

  11. Prove that cos^(-1)""(12)/(13)+sin^(-1)""(3)/(5)=sin^(-1)""(56)/(65)

    Text Solution

    |

  12. Prove that tan^(-1)""(1)/(2)+tan^(-1)""(2)/(11)=tan^(-1)""(3)/(4)

    Text Solution

    |

  13. Prove that tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=tan^(-1)""(1)/(2).

    Text Solution

    |

  14. Express tan^(-1)((cosx)/(1-sinx)),-(pi)/(2)ltxlt(pi)/(2) in the simple...

    Text Solution

    |

  15. Prove that tan^(-1) (1/5)+ tan^(-1) (1/7) + tan^(-1) (1/3) + tan^(-1) ...

    Text Solution

    |

  16. Show that sin^(-1)""(3)/(5)-sin^(-1)""(8)/(17)=cos^(-1)""(84)/(85)

    Text Solution

    |

  17. Prove that : cot^-1[(sqrt(1+sin x) + sqrt(1-sin x))/(sqrt1+sin x + sqr...

    Text Solution

    |

  18. Prove that (9pi)/(8)-9/(4)"sin"^(-1)1/(3)=9/(4)"sin"^(-1)(2sqrt(2))/(3...

    Text Solution

    |

  19. Solve tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)""(8)/(31)

    Text Solution

    |

  20. Prove that "tan"^(-1)sqrt(x)=1/(2)"cos"^(-1)((1-x)/(1+x)),x in[0,1].

    Text Solution

    |