Home
Class 11
MATHS
If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f...

If `f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha` is a constant, then `f(tan^(-1)(Tan8))` is equal to

A

`alpha`

B

`alpha-2`

C

`alpha+2`

D

`2-alpha`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) STRAIGHT OBJECTIVE TYPE QUESTIONS)|6 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL - I STRAIGHT OBJECTIVE TYPE QUESTIONS)|21 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 f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha constant then f(tan^(-1)(Tan8)) is equal to

If f(x)=Sin^(-1){3-(x-6)^(4)}^(1//3) then f^(-1)(x)=

If f^1(x)=(x-a)^8(x-b)^(11) then

The domain of f(x)=Tan^(-1)5x is

Let f(x+y)=f(x)f(y) and f(x) = 1 + (sin2x) g(x) where g(x) is continuous . Then f^(1) (x) equals

If f(x) = |cos x - sin x| , then f^(1)(pi/4) =

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. f:(-1,1) to B defined by f(x)=tan^(-1)((2x)/(1-x^(2))) is bijection t...

    Text Solution

    |

  2. The values of Sin^(-1)(cos{Cos^(-1)(cosx)+Sin^(-1)(sinx)})" where "x i...

    Text Solution

    |

  3. If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha ...

    Text Solution

    |

  4. There exists a positive real number x satisfying cos(tan^(-1)x)=x. The...

    Text Solution

    |

  5. If tan^(-1)(sqrt(1+x^(2))-1)/x=4^(0), then

    Text Solution

    |

  6. The number of integer x satisfying sin^(-1)abs(x-2)+cos^(-1)(1-abs(3-x...

    Text Solution

    |

  7. The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-...

    Text Solution

    |

  8. If y=tan^(-1)""1/2+tan^(-1)b, (0 lt b lt 1) and 0 lt y le pi/4, then t...

    Text Solution

    |

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

    Text Solution

    |

  10. If x(1)=2tan^(-1)((1+x)/(1-x)), x(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," w...

    Text Solution

    |

  11. If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2...

    Text Solution

    |

  12. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2).x^(2))/(x^(4)+2x^(2)+...

    Text Solution

    |

  13. If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal...

    Text Solution

    |

  14. If alpha in (-(3pi)/2,-pi), then the value of tan^(-1)(cot alpha)-cot^...

    Text Solution

    |

  15. If sin^(-1)x:[-1, 1] to [pi/2, (3pi)/2] and cos^(-1)x:[-1, 1] to [0, p...

    Text Solution

    |

  16. The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

    Text Solution

    |

  17. If sin^(-1)a+sin^(-1)b+sin^(-c)=pi, then the value of asqrt((1-a^(2)))...

    Text Solution

    |

  18. If abs(sin^(-1)x)+abs(cos^(-1)x)=pi/2, then x in

    Text Solution

    |

  19. f(x)=tan^(-1)x+tan^(-1)(1/x), g(x)=sin^(-1)x+cos^(-1)x are identical f...

    Text Solution

    |

  20. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |