Home
Class 12
MATHS
Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^...

Solve `3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan^(-1)((2x)/(1-x^(2))) = (pi)/3`

A

`sqrt2`

B

`1//sqrt2`

C

`sqrt3`

D

`1//sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
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

IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(-1)((2x)/(1-x^(2)))=(pi)/3 then x=

sin[cot^(-1)((2x)/(1-x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))]=

tan[1/2Sin^(-1)((2x)/(1+x^(2)))-1/2Cos^(-1)((1-y^(2))/(1+y^(2)))]=

If I_(1)= int Sin^(-1)((2x)/(1+x^(2)))dx,I_(2)= int Cos^(-1)((1-x^(2))/(1+x^(2)))dx, I_(3)= intTan^(-1)((2x)/(1-x^(2)))dx then the value of I_(1)+I_(2)-I_(3)=

If Sin^(-1)(2p)/(1+p^(2)) - Cos^(-1)((1-q^(2))/(1+q^(2))) = Tan^(-1) (2x)/(1-x^(2)) , then prove that x = (p-q)/(1+pq)

tan[1/2sin^(-1)((2x)/(1+x^(2)))-1/2cos^(-1)((1-y^(2))/(1+y^(2)))]=

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

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. If Cosec^(-1)x=2Cot^(-1)7+Cos^(-1)(3//5) then the value of x is

    Text Solution

    |

  2. If Tan^(-1)(secx+tanx)=pi//4+kx then k =

    Text Solution

    |

  3. Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan...

    Text Solution

    |

  4. If 1/2Sin^(-1)[(3Sin2theta)/(5+4cos2theta)]=Tan^(-1)x, then x =

    Text Solution

    |

  5. If Sec^(-1)(x/a)-Sec^(-1)(x/b)=Sec^(-1)(b)-Sec^(-1)(a)andaneb, then x ...

    Text Solution

    |

  6. If a=sin(Cot^(-1)x)andb=cot(Sin^(-1)x) where xgt0, then 1//x^(2)-x^(2)...

    Text Solution

    |

  7. If Tan^(-1)2x+Tan^(-1)3x=pi//4, then x =

    Text Solution

    |

  8. If Tan^(-1)(x+1)+Tan^(-1)(x-1)=Tan^(-1)(8//31), then x =

    Text Solution

    |

  9. If Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//4 then x =

    Text Solution

    |

  10. A solution of the equation Tan^(-1)(1+x)-Tan^(-1)(x-1)=pi//2 is

    Text Solution

    |

  11. (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=5pi^(2)//8rArrx=

    Text Solution

    |

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

    Text Solution

    |

  13. The number of real solutions of Tan^(-1)sqrt(x(x+1))+Sin^(-1)sqrt(x^(2...

    Text Solution

    |

  14. An integral solution of the equation Tan^(-1)x+Tan^(-1)(1//y)=Tan^(-1)...

    Text Solution

    |

  15. The solution of "Sin"^(-1)(2a)/(1+a^(2))-"Cos"^(-1)(1-b^(2))/(1+b^(2))...

    Text Solution

    |

  16. If Sin^(-1)(tanpi//4)-Sin^(-1)sqrt(3//x)-pi//6=0, then x is a root of ...

    Text Solution

    |

  17. If theta=Sin^(-1)x+Cos^(-1)x-Tan^(-1)x,0lexle1, then the smallest inte...

    Text Solution

    |

  18. The trigonometric equation Sin^(-1)x=2Sin^(-1)a, has a solution for

    Text Solution

    |

  19. If Cos^(-1)x=Tan^(-1)x, then sin(Cos^(-1)x)=

    Text Solution

    |

  20. The domain of Sin^(-1)x is

    Text Solution

    |