Home
Class 11
MATHS
tan((pi)/4+1/2"cos"^(-1)a/b)+tan((pi)/4-...

`tan((pi)/4+1/2"cos"^(-1)a/b)+tan((pi)/4-1/2"cos"^(-1)a/b)=`

A

`b//a`

B

`a//b`

C

`2a//b`

D

`2b//a`

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

tan[pi/4+1/2"Cos"^(-1)x/y]+tan[pi/4-1/2"Cos"^(-1)x/y]=

tan["cos"^(-1)4/5+"tan"^(-1)2/3]=

The ascending order of A=cos("sin"^(-1)12/13), B=sin(2"Tan"^(-1)3/4), C=tan(1/2"Cos"^(-1)1/3) is

Let P(k) = (1+"cos"(pi)/(4k))(1+"cos"((2k-1)pi)/(4k))(1 + "cos" ((2k+1)pi)/(4k))(1+"cos"((4k-1)pi)/(4k)) . Then

I. Tan^(-1)2+Tan^(-1)3=(3pi)/4 II. cos{Cos^(-1)((-1)/7)+Sin^(-1)((-1)/7)}=0

cos^(-1)(-1/4)=pi+tan^(-1)(-sqrt(15))

If "tan"^(2)(pi-4)/(4)+"tan"^(2)(pi-B)/(4)+"tan"^(2)(pi-C)/(4)=1 , then Delta ABC is

If (3-"tan"^(2)(pi)/(7))/(1-"tan"^(2)(pi)/(7))="k cos" (pi)/(7) then the value of k is

Prove that : tan^(-1) ""(1)/(2) + tan^(-1) ""(1)/(5) + tan^(-1) ""(1)/(8) = (pi)/(4)

AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. If cos(sin^(-1)sqrt(13/17))=sin(tan^(-1)x) then x=

    Text Solution

    |

  2. The value of x where x gt0 and tan("sec"^(-1)1/x)=sin(tan^(-1)2) is

    Text Solution

    |

  3. tan((pi)/4+1/2"cos"^(-1)a/b)+tan((pi)/4-1/2"cos"^(-1)a/b)=

    Text Solution

    |

  4. If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/...

    Text Solution

    |

  5. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

    Text Solution

    |

  6. The value of cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)} is

    Text Solution

    |

  7. If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(...

    Text Solution

    |

  8. If :"Tan"^(-1)(2x)/(1-x^(2))+Cot^(-1)((1-x^(2))/(2x))=(pi)/3,xgt0 then

    Text Solution

    |

  9. If Sin^(-1)x+Tan^(-1)x=(pi)/2 then the value of x^(2) is

    Text Solution

    |

  10. 2Cos^(-1)x=Sin^(-1)(2xsqrt(1-x^(2))) is valid for

    Text Solution

    |

  11. Th ascending order of minimum values of functions P: sin^(-1)x-cos^(...

    Text Solution

    |

  12. Match the following:

    Text Solution

    |

  13. Assertion : If 0ltxlt(pi)/2 then sin^(-1)(cosx)+cos^(-1)(sinx)=pi-2x ...

    Text Solution

    |

  14. cos^(-1)((3+5cosx)/(5+3cosx)) is equal to

    Text Solution

    |

  15. The smallest and the largest values of tan^(-1)((1-x)/(1+x)),0lexle1 a...

    Text Solution

    |

  16. tan^(-1)[(cosx)/(1+sinx)] is equal to

    Text Solution

    |

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

    Text Solution

    |

  18. If cos^(-1)(5/13)+cos^(-1)(3/5)=cos^(-1)x then x=

    Text Solution

    |

  19. 2sin^(-1)x=cos^(-1)(1-2x^(2)) is true for

    Text Solution

    |

  20. cot((pi)/4-2cot^(-1)3)=

    Text Solution

    |