Home
Class 12
MATHS
The value of tan[Tan^(-1)(1/(a+b))+Tan^(...

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

A

a

B

1/a

C

b

D

1/b

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set -4|8 Videos

Similar Questions

Explore conceptually related problems

tan("Tan"^(-1)1/2+"Tan"^(-1)1/3)=

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

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

If (a_(1) + ib_(1)) (a_(2) + ib_(2)) … (a_(n) + ib_(n)) = A + iB then Tan^(-1) ((b_(1))/(a_(1))) + Tan^(-1) ((b_(2))/(a_(2))) + …. + Tan^(-1) ((b_(n))/(a_(n))) =

If Tan^(-1)(1//(a-1))=Tan^(-1)(1//x)+Tan^(-1)[1//(a^(2)-x+1)] , then x =

In DeltaABC if C is a right angle then tan^(-1)(a/(b+c))+tan^(-1)(b/(c+a))=

tan^(-1)(2+)tan^(-1)(3)=

If tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2 then x=

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. tan[1/2Sin^(-1)((2x)/(1+x^(2)))-1/2Cos^(-1)((1-y^(2))/(1+y^(2)))]=

    Text Solution

    |

  2. Prove that sin[Cot^(-1) (2x)/(1-x^2)+Cos^(-1)((1-x^(2))/(1+x^(2)))]=1.

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that tan{(pi)/4 + 1/2 Cos^(-1)((a)/(b))}+tan{((pi)/4-1/2 Cos^(-1...

    Text Solution

    |

  5. Cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1+sinx))}=

    Text Solution

    |

  6. "Tan"^(-1)(a-b)/(1+ab)+"Tan"^(-1)(b-c)/(1+bc)+"Tan"^(-1)(c-a)/(1+ca)=

    Text Solution

    |

  7. Id a,b,c are distinct non-zero real numbers having the same sign. Prov...

    Text Solution

    |

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

    Text Solution

    |

  9. "Tan"^(-1)(yz)/(xsqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(zx)/(ysqrt(x^(2)+...

    Text Solution

    |

  10. "Tan"^(-1)(c(1)x-y)/(c(1)y+x)+"Tan"^(-1)(c(2)-c(1))/(1+c(2)c(1))+"Tan"...

    Text Solution

    |

  11. If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......

    Text Solution

    |

  12. If a(1),a(2),a(3),....,a(n) is an A.P. with common difference d, then ...

    Text Solution

    |

  13. If x^(2)+y^(2)+z^(2)=r^(2), then Tan^(-1)((xy)/(zr))+Tan^(-1)((yz)/(xr...

    Text Solution

    |

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

    Text Solution

    |

  15. If 0lexle1/2, then Sin^(-1)x+Sin^(-1)(x/2-sqrt(3-3x^(2))/2)=

    Text Solution

    |

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

    Text Solution

    |

  17. If y is infinite and tan^(-1)y=4tan^(-1)x then

    Text Solution

    |

  18. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi then x+y+z=

    Text Solution

    |

  19. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=pi//2 then 1 - xy - yz - zx =

    Text Solution

    |

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

    Text Solution

    |