Home
Class 11
MATHS
If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , the...

If `tan(A-B)=1,sec(A+B)=2/(sqrt(3))` , then the smallest positive value of `B` is. `(25pi)/(24)` (b) `(19pi)/(24)` (c) `(13pi)/(24)` (d) `(11pi)/(24)`

A

`(25pi)/(24)`

B

`(19 pi)/(24)`

C

`(13 pi)/(24)`

D

`(11pi)/(24)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|33 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If tan(A-B)=1,sec(A+B)=(2)/(sqrt(3)), then the smallest positive value of B is.(25 pi)/(24)(19 pi)/(24)(c)(13 pi)/(24) (d) (11 pi)/(24)

If tan(A-B)=1 and sec(A+B)=(2)/(sqrt(3)) then the smallest positive values of A and B respectively,are (25 pi)/(24),(19 pi)/(24) (b) (19 pi)/(24),(25 pi)/(24)(31 pi)/(24),(31 pi)/(24)(d)(13 pi)/(24),(13 pi)/(24)

Find the value of sin. (23pi)/(24) .

5/8+3/4-7/(12) is equal to: (15)/(24) (b) (17)/(24) (c) (19)/(24) (d) (21)/(24)

Find the value of (cos pi)/(24) and (sin pi)/(24)

Find the value of sin backslash(23 pi)/(24)

55% of 1000-:60% of 2000=(11)/(24) (b) (12)/(25)(13)/(24) (d) (14)/(25)

The smallest positive root of the equation tan x-x=0 lies in (0,(pi)/(2)) (b) ((pi)/(2),pi)(pi,(3 pi)/(2)) (d) ((3 pi)/(2),2 pi)

Find the value of tan^(-1)sqrt(3)+sec^(-1)2 (A). (2 pi)/(3) (B). (pi)/(2) (C). (pi)/(3) (D) pi

The value of int_(0)^((pi)/(2))(dx)/(1+tan^(3)x) is (a) 0(b)1(c)(pi)/(2)(d)pi

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -CRITICAL THINKING
  1. Which of the following is correct ?

    Text Solution

    |

  2. If cos A =(sqrt3)/(2), then tan 3A=

    Text Solution

    |

  3. If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , then the smallest positive value ...

    Text Solution

    |

  4. If sin (A + B + C) = 1, tan (A - B) = 1//sqrt(3) and "sec" (A + C) = 2...

    Text Solution

    |

  5. If cos A =3/5, cos B=4/5 and (-pi)/(2) lt A lt 0,(-pi)/(2) lt B lt 0, ...

    Text Solution

    |

  6. If tan theta + sectheta=sqrt3,0 < theta < pi, then theta is equal to

    Text Solution

    |

  7. If pi/2 lt theta lt (3pi)/2 , then sqrt((1-sin theta)/(1+sin theta)) ...

    Text Solution

    |

  8. If pi/2<theta<pi, then sqrt((1-s intheta)/(1+s intheta))+sqrt((1+s int...

    Text Solution

    |

  9. If pi<alpha<(3pi)/2,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cos...

    Text Solution

    |

  10. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

    Text Solution

    |

  11. If sec theta - tan theta = 1/2, then theta lies in the

    Text Solution

    |

  12. If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin th...

    Text Solution

    |

  13. If sinx+cosx=a then |sinx-cosx|=

    Text Solution

    |

  14. If 3 sin theta + 4 cos theta=5, then find the value of 4 sin theta-3 c...

    Text Solution

    |

  15. If u(n) = sin ^(n) theta + cos ^(n) theta, then 2 u(6) -3 u(4) is equ...

    Text Solution

    |

  16. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  17. If 10sin^4 alpha+15 cos^4 alpha=6, then find the value of 27 cosec^6 a...

    Text Solution

    |

  18. sin alpha =(2xy)/(x^2+y^2) => sec alpha - tan alpha=

    Text Solution

    |

  19. If sec theta - tan theta =(a+1)/(a-1), then cos theta =

    Text Solution

    |

  20. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= x ,1/x (b) 2x ,1/(...

    Text Solution

    |