Home
Class 11
MATHS
A value of Tan^(-1){sin(Cos^(-1)sqrt(2/3...

A value of `Tan^(-1){sin(Cos^(-1)sqrt(2/3))}` is

A

`pi/4`

B

`pi/2`

C

`pi/3`

D

`pi/6`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL - I MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL - I MATRIX MATCHING TYPE QUESTIONS)|1 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (INTEGER TYPE QUESTIONS)|9 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

The value of Sin^(-1)(cot(Sin^(-1)sqrt((2-sqrt(3))/4)+Cos^(-1)""sqrt(12)/4+Sec^(-1)sqrt(2))) is

Find the value of tan(Sin^(-1)3/5 + Cos^(-1) 5/(sqrt34)) .

tan[1/2Cos^(-1)(sqrt5/3)]=

Find the value of cos^(-1)sqrt(2/3)-cos^(-1)""(sqrt(6)+1)/(2sqrt(3))

Prove that cos[Tan^(-1){sin(Cot^(-1)x)}] = sqrt((x^(2)+1)/(x^(2)+2))

Given 0 le x le 1/2 then the value of tan[sin^(-1){x/sqrt(2)+sqrt(1-x^(2))/sqrt(2)}-sin^(-1)x] is

tan[1/2cos^(-1)((sqrt(5))/3)]=

The principal value of sin^(-1)(-(sqrt(3))/2) is

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-PRACTICE SHEET (EXERCISE-I) (LEVEL - I STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. cot[Sin^(-1)sqrt(13/17)]-sin[Tan^(-1)""2/3]=

    Text Solution

    |

  2. cos(2cos^(-1)(7//25))=

    Text Solution

    |

  3. A value of Tan^(-1){sin(Cos^(-1)sqrt(2/3))} is

    Text Solution

    |

  4. Sec^(2)(Tan^(-1)(2))+Cosec^(2)(Cot^(-1)(2))=

    Text Solution

    |

  5. sin(1//2Cot^(-1)(-3//4))=

    Text Solution

    |

  6. tan[1/2cos^(-1)((sqrt(5))/3)]=

    Text Solution

    |

  7. If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is

    Text Solution

    |

  8. If sin^(-1)(3/x)+sin^(-1)(4/x)=(pi)/2 then x=

    Text Solution

    |

  9. If sin^(-1)(x-(x^(2))/2+(x^(3))/4-……oo) +cos^(-1)(x^(2)-(x^(4))/2+(x...

    Text Solution

    |

  10. If (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=(5pi^(2))/8 then =

    Text Solution

    |

  11. If n in N, sum(k=1)^(n)sin^(-1(x(k))=(npi)/2 then the value of sum(k=1...

    Text Solution

    |

  12. If sum(r=1)^(n)Cos^(-1)x(r)=0," then "sum(r=1)^(n)x(r) equals to

    Text Solution

    |

  13. If theta in [pi/2, (3pi)/2]" then "Sin^(-1)(sintheta)=

    Text Solution

    |

  14. If 0ltxlt1 then tan^(-1)(sqrt(1-x^(2))/(1+x))is equal to

    Text Solution

    |

  15. If 1/2lexle1 then Cos^(-1)x+Cos^(-1)(x/2+1/2sqrt(3-3x^(2)))=

    Text Solution

    |

  16. The equation 2Cos^(-1)x=Cos^(-1)(2x^(2)-1) is satisfied by

    Text Solution

    |

  17. Simplify each of the following: tan^(-1)(x+sqrt(1+x^(2))),x in R

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. cos[2Sin^(-1)sqrt((1-x)/2)]=

    Text Solution

    |