Home
Class 12
MATHS
If tan^(-1)(1/(2+sqrt(3)))-tan^(-1)1/x=t...

If `tan^(-1)(1/(2+sqrt(3)))-tan^(-1)1/x=tan^(-1)1/3,` then `x` is equal to 1 (b) 2 (c) 3 (d) `sqrt(2)`

A

1

B

2

C

3

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.1|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.2|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART-B: MASTERING THE BEST|27 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

If 3tan^(-1)(2-sqrt(3))-tan^(-1)(x)=tan^(-1)((1)/(3)) then x=

If 3tan^(-1)((1)/(2+sqrt(3)))-(tan^(-1)1)/(x)=(tan^(-1)1)/(3) then x is equal to 1(b)2(c)3(d)sqrt(2)

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

Solve : 3 tan^(-1) (1/(2+sqrt(3)))-tan^(-1)(1/x) = tan^(-1) (1/3)

If 3tan^(-1)((1)/(2+sqrt3))-tan^(-1).(1)/(3)=tan^(-1).(1)/(x) , then the value of x is equal to

Prove that 3tan^(-1)((1)/(2+sqrt(3)))-tan^(-1)((1)/(2))=tan^(-1)((1)/(3))

If x=sin(2tan^(-1)2sqrt3)and y=sin((1)/(2)tan^(-1).(12)/(5)) , then

If u=tan^(-1){(sqrt(1+x^2)-1)/x} and v=2tan^(-1)x , then (d u)/(d v) is equal to......

tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) is equal to (A) (B) (B) (C) 0(D)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MASTERING THE BEST - ALL TOPICS
  1. In a DeltaABC, if A=45^(@) and B=75^(@), then a+sqrt(2)c=

    Text Solution

    |

  2. If, in a triangleABC, (a+b+c)(b+c-a)=kbc, then k lies in the interval

    Text Solution

    |

  3. If, in a triangleABC, A=60^(@), then: (1+a/c + b/c)(1+c/b - a/b)=

    Text Solution

    |

  4. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

    Text Solution

    |

  5. If, in a trianglePQR, sin P, sin Q, sin R are in the A.P, then its alt...

    Text Solution

    |

  6. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

    Text Solution

    |

  7. tan^(-1)3 + tan^(-1)4=

    Text Solution

    |

  8. If: 3 sin^(-1)((2x)/(1+x^(2))) - 4 cos^(-1)((1-x^(2))/(1+x^(2))) + 2 t...

    Text Solution

    |

  9. If tan^(-1)(1/(2+sqrt(3)))-tan^(-1)1/x=tan^(-1)1/3, then x is equal to...

    Text Solution

    |

  10. If: sin^(-1)x = alpha + beta and sin^(-1)y = alpha - beta, then: 1+xy=

    Text Solution

    |

  11. If x^2 + y^2 + z^2 = r^2 and x, y, z > 0, then tan^-1((xy)/(zr))+tan...

    Text Solution

    |

  12. if cos ^(-1 ) ""(x )/(a) + cos ^(-1 )""(y)/(b ) = alpha prove t...

    Text Solution

    |

  13. If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) ...

    Text Solution

    |

  14. The sum of the infinite terms of the series "tan"^(-1)((1)/(3))+ "tan...

    Text Solution

    |

  15. If sin^(-1)sqrt(x^2+2x + 1) + sec^(-1)sqrt(x^2 + 2x + 1) = pi/2; x!= 0...

    Text Solution

    |

  16. If, in a triangleABC, tan(A/2) =5/6 and tan(C/2) = 2/5, then:

    Text Solution

    |

  17. If y= sin^(2)theta + cosec^(2)theta, theta ne 0, then

    Text Solution

    |

  18. If tan theta =-4/3, then sin theta is

    Text Solution

    |

  19. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |

  20. Let cos(alpha+beta) =4/5 and let sin (alpha-beta)=5/13 where 0 le alph...

    Text Solution

    |