Home
Class 12
MATHS
Solve for x, cos^(-1)((x^(2)-1)/(x^(2)+1...

Solve for x, `cos^(-1)((x^(2)-1)/(x^(2)+1))+tan^(-1)((-2x)/(1-x^(2)))=(2pi)/(3)`

A

`pi`

B

0

C

`tan^(-1)2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
a,c
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS II|3 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)|50 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos
  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

Solve for x:cos^(-1)((x^(2)-1)/(x^(2)+1))+(1)/(2)tan^(-1)((2x)/(1-x^(2)))=(2(pi)/(3))

Solve for x : cos^(-1)((x^2-1)/(x^2+1))+1/2tan^(-1)((2x)/(1-x^2))=(2pi)/3

Solve the following for x:cos^(-1)((x^(2))/(x^(2)))+tan^(-1)((2x)/(x^(2)-1))=(2 pi)/(3)

Solve: cos^(-1) ((x^(2)-1)/(x^(2)+1))+ tan^(-1) ((2x)/(x^(2)-1)) = 2/3 pi .

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

If: 3 sin^(-1)((2x)/(1+x^(2))) - 4 cos^(-1)((1-x^(2))/(1+x^(2))) + 2 tan^(-1)((2x)/(1-x^(2)))=pi/3 , where |x| lt 1 , then: x=

Solve for x : 3 sin^(-1) ((2x)/(1+x^(2))) - 4 cos^(-1) ((1-x^(2))/(1+x^(2))) +2 tan^(-1). ((2x)/(1-x^(2))) = pi/ 2 .

Solve the following equation for x:3(sin^(-1)(2x))/(1+x^(2))-4(cos^(-1)(1-x^(2)))/(1+x^(2))+2(tan^(-1)(2x))/(1-x^(2))=(pi)/(3)

Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

Solve tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4)

FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL II)
  1. The equation 2sin(x/2).cos^2x+sin^2x=2sin(x/2)sin^2x+cos^2x has a root...

    Text Solution

    |

  2. If cos x + cot x +1=cosec x then the possible values of x can be

    Text Solution

    |

  3. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

    Text Solution

    |

  4. If the equation sin x + cos (k +x)+ cos (k-x)=2 has real solutions, th...

    Text Solution

    |

  5. If sin theta =a has exactly 3 solution in theta in [0,(7pi)/(3)] then...

    Text Solution

    |

  6. The values of x satisfying the system of equation 2^("sin" x + "cos"...

    Text Solution

    |

  7. 2 sin^(2)x + sin^(2)2x=2,pi lt x lt pi then x equals

    Text Solution

    |

  8. If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral ...

    Text Solution

    |

  9. If sqrt(3)(sin theta +cos theta)=2 + sin theta then theta equal to

    Text Solution

    |

  10. If sin(pi cos theta)=cos(pi sin theta), then sin 2theta=

    Text Solution

    |

  11. If 0lt plt 2pi and sin^(-1)(sinp)lt (x^(2))/(y)+(3y^(2))/(x)+(1)/(81xy...

    Text Solution

    |

  12. If z = sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y), where xy< 0, then the ...

    Text Solution

    |

  13. If cos x=sqrt(1-sin 2x),0 le x le pi then a value of x is

    Text Solution

    |

  14. If: tan^(-1)(x-1)/(x+1)+ tan^(-1)(2x-1)/(2x+1) = tan^(-1) 23/36. Then:...

    Text Solution

    |

  15. Solve for x, cos^(-1)((x^(2)-1)/(x^(2)+1))+tan^(-1)((-2x)/(1-x^(2)))=(...

    Text Solution

    |

  16. General solution of the equation 4 cot 2 theta = cot^(2) theta - tan...

    Text Solution

    |

  17. If 1/2lt|x|lt1 then which of the following are real ?

    Text Solution

    |

  18. If 6 sin^(-1)(x^(2)-6x+17/2)=pi then

    Text Solution

    |

  19. The general solution of the equation 2^(cos2x)+1=3*2^(-sin^2x) is

    Text Solution

    |

  20. If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//...

    Text Solution

    |