Home
Class 11
MATHS
Cot^(-1)(sqrt(Cos alpha))-Tan^(-1)( sqrt...

`Cot^(-1)(sqrt(Cos alpha))-Tan^(-1)( sqrt(Cos alpha))=x` then Sinx=

A

`tan^(2)""alpha/2`

B

`cot^(2)(alpha/2)`

C

`tanalpha`

D

`cot""alpha/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (MATRIX MATCHING TYPE QUESTIONS)|1 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I DOMAIN, RANGE, PRINCIPAL VALUES, BASIC PROPERTIES) (INTEGER TYPE QUESTIONS)|5 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

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

(1)/(sec alpha - tan alpha ) - (1)/( cos alpha)=

If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) then sin 4 alpha =

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cos alpha) is equal to

If -(pi)/2 lt alpha lt (pi)/2 then prove that tan^(-1)((3sin 2 alpha)/(5+3 cos alpha))+tan^(-1)((tan alpha)/4)=

If f(x) = sin^(-1) sqrt((x-beta)/(alpha-beta)), g(x) = tan^(-1) sqrt((x-beta)/(alpha-x)) then prove that f'(x) = g'(x)

If int ((x cos alpha+1)dx)/((x^(2)+2x cos alpha+1)^(3//2))=(f(x))/(sqrt(x^(2)+2x cos alpha+ 1))+c then f(x)=

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-LECTURE SHEET (EXERCISE - II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If we consider only the principle values of the inverse trigonometric ...

    Text Solution

    |

  2. Find the value of tan(2"Tan"^(-1)(1/5)-(pi)/4)

    Text Solution

    |

  3. If x,y,z are in A.P and Tan^(-1) x, Tan^(-1) y and Tan^(-1) z are als...

    Text Solution

    |

  4. Cot^(-1)(sqrt(Cos alpha))-Tan^(-1)( sqrt(Cos alpha))=x then Sinx=

    Text Solution

    |

  5. The number of solutions of the equation Tan^(-1)(x-1)+Tan^(-1)(x+1)=Ta...

    Text Solution

    |

  6. The value of tan[Tan^(-1)(1/(a+b))+Tan^(-1)(b/(a^(2)+ab+1))] is

    Text Solution

    |

  7. The arithmetic mean of the non-zero solutions of the equation "Tan"^...

    Text Solution

    |

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

    Text Solution

    |

  9. If alpha, beta, gamma are the roots of the equation x^(3)+mx^(2)+3x+m=...

    Text Solution

    |

  10. If Cos^(-1)x-Cos^(-1)(y/2)=alpha" then "4x^(2)-4xycosalpha+y^(2)=

    Text Solution

    |

  11. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/z then the value of sum((x^(201...

    Text Solution

    |

  12. If Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"then "x^(2)+y^(2)+z^(2)+2xyz=

    Text Solution

    |

  13. The value of alpha such that sin^(-1)""2/sqrt(5), sin^(-1)""3/sqrt(10)...

    Text Solution

    |

  14. sum(r=1)^(n)sin^(-1)((sqrt(r)-sqrt(r-1))/sqrt(r(r+1))) is equal to

    Text Solution

    |

  15. sum(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=

    Text Solution

    |

  16. The value of "tan"^(-1)4/7+"tan"^(-1)4/19+"tan"^(-1)4/39+"tan"^(-1)4/6...

    Text Solution

    |

  17. The sum of series sec^(-1)sqrt(2)+"sec"^(-1)(sqrt(10))/3+"sec"^(-1)(sq...

    Text Solution

    |

  18. Sum of infinite terms of the series cot^(-1)(1^(2)+3/4)+cot^(-1)(2^(2)...

    Text Solution

    |

  19. Tan^(-1)(1/3)+Tan^(-1)(2/9)+Tan^(-1)(4/33)+…… infty

    Text Solution

    |

  20. The value of cot(sum(n=1)^(23)cot^(-1)(1+sum(k=1)^(n)2k)) is

    Text Solution

    |