Home
Class 11
MATHS
If u=tan^(-1)(1/(sqrt(cos 2 theta)))-tan...

If `u=tan^(-1)(1/(sqrt(cos 2 theta)))-tan^(-1)(sqrt(cos 2 theta))`, then sin u=

A

1)`cot^(2)theta`

B

2)`sin^(2) theta`

C

3)`cos^(2) theta`

D

4)`tan^(2) theta`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE I|31 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

sin^(-1)(sqrt(2)sin theta)+sin^(-1)(sqrt(cos 2 theta))=

The value of tan^(-1)((x cos theta)/(1-x sin theta))-cot^(-1)((cos theta)/(x-sin theta)) is

If f(theta) = sin(tan^(-1)(("sin theta)/(sqrt(cos 2 theta)))) , where -pi/4 lt theta lt pi/4 , then the value of d/(d(tan theta)) f(theta) is

If sin theta =1//sqrt(3) , then cos 2 theta =

tan^(-1)(2)=sin^(-1)(2/(sqrt(5)))=cos^(-1)(1/(sqrt(5)))

If sqrt3 tan theta=1 then theta=

If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x , then x =

If sin theta+cos theta=sqrt(2)cos A then theta=

AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. tan[1/2cos^(-1)((sqrt(5))/3)]=

    Text Solution

    |

  2. sin^(-1)(sqrt(2)sin theta)+sin^(-1)(sqrt(cos 2 theta))=

    Text Solution

    |

  3. If u=tan^(-1)(1/(sqrt(cos 2 theta)))-tan^(-1)(sqrt(cos 2 theta)), then...

    Text Solution

    |

  4. sin[cot^(-1){cos(tan^(-1)x)}]=

    Text Solution

    |

  5. 2"tan"^(-1)1/5+"tan"^(-1)1/7+2"tan"^(-1)1/8=

    Text Solution

    |

  6. "tan"^(-1)5/6+1/2"tan"^(-1)11/60=

    Text Solution

    |

  7. "tan"^(-1)(5/12)+sin^(-1)(24/25)=cos^(-1)(x) implies x=

    Text Solution

    |

  8. In DeltaABCif C is a right angle then tan^(-1)(a/(b+c))+tan^(-1)(b/(c+...

    Text Solution

    |

  9. tan[tan^(-1)(1/(a+b))+tan^(-1)(b/(a^(2)+ab+1))]=

    Text Solution

    |

  10. sin[cot^(-1)((2x)/(1-x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))]=

    Text Solution

    |

  11. IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(...

    Text Solution

    |

  12. "tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(1/(n^(2)+n+1))=

    Text Solution

    |

  13. Statement: I sin^(-1)x=x has only one solution Statement II: cos^(-1...

    Text Solution

    |

  14. The ascending order of A=cos("sin"^(-1)12/13), B=sin(2"Tan"^(-1)3/4)...

    Text Solution

    |

  15. If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sq...

    Text Solution

    |

  16. If tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))=k tan^(-1)(x/a) then k=

    Text Solution

    |

  17. If sec^(-1)(1/(sqrt(1-x^(2))))+cot^(-1)((sqrt(1-x^(2)))/x)=sin^(-1)(k)...

    Text Solution

    |

  18. If sin^(-1)x-cos^(-1)x=(pi)/6 then x=

    Text Solution

    |

  19. If sin^(-1)(x)-cos^(-1)(x)=sin^-1(x-1) then x=

    Text Solution

    |

  20. If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

    Text Solution

    |