Home
Class 14
MATHS
If (secalpha+tanalpha)(secbeta+tanbeta)(...

If `(secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatanbetatangamma`, then `(secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma)=`

A

`cot alpha cot beta cot gamma`

B

`tan alpha + tan beta tan gamma`

C

`cot alpha + cot beta + cot gamma`

D

`tan alpha + tan beta+ tan gamma`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET-4

    UPKAR PUBLICATION |Exercise PART-III QUANTATIVE APTITUDE|50 Videos

  • PRACTICE SET-7

    UPKAR PUBLICATION |Exercise PART-III (QUANTITATIVE APTITUDE)|50 Videos

Similar Questions

Explore conceptually related problems

If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatanbetatangamma tehn (secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma)=

If tanalpha+tanbeta+tangamma=tanalphatanbetatangamma,then

If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=(secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma) , then each of the side is equal to

Let alpha,betaa n dgamma be some angles in the first quadrant satisfying tan(alpha+beta)=(15)/8a n dcos e cgamma=(17)/8, then which of the following hold(s) good? (a) alpha+beta+gamma=pi (b)cotalpha+tanbeta+tangamma=tanalphatanbetatangamma (c)tanalpha+tanbeta+tangamma=tanalphatanbetatangamma (d)tanalphatanbeta+tanbetatangamma+tangammatanalpha=1

If 2sinalphacosbetasingamma= sinbetasin(alpha+gamma) then tanalpha, tanbeta & tangamma are in

If alpha+beta+gamma=2pi, then- a.tanalpha/2+(tan beta)/2+tangamma/2=tanalpha/2tanbeta/2tangamma/2 b. tanalpha/2+tanbeta/2+tan"(beta/2)tangamma/2=tangamma/2tanalpha/2=1 c.tanalpha/2+t a nbeta/2+tangamma/2=tanalpha/2tanbeta/2tangamma/2 d.tan(alpha/2)tan(beta/2) +tan(gamma/2)tan(beta/2) +tan(gamma/2)tan(alpha/2) =0

If 1/(cosalpha cosbeta) +tanalpha tanbeta =tan gamma, show that cos2gammale0

1/(secalpha-tanalpha)-1/cosalpha=1/cosalpha-1/(secalpha+tanalpha)

If tanalpha=(1)/(7)&tanbeta=(1)/(3) , then cos2alpha=?

If alphaandbeta are such that tanalpha=2tanbeta , then what is sin(alpha+beta) equal to ?

UPKAR PUBLICATION -PRACTICE SET-5-PART-III (QUANTITIVE QPTITUDE)
  1. The surface area of a cube is 600 sq m. Its diagonal is

    Text Solution

    |

  2. If sin theta = - (3)/(5) and theta lies in the third quadrant, then th...

    Text Solution

    |

  3. If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatan...

    Text Solution

    |

  4. (16) ^( - 3//4) + 2 ^(-3) + (8) ^( -2//3) is equivalent to -

    Text Solution

    |

  5. If two triangles are on the same base and between the same parallels. ...

    Text Solution

    |

  6. If the angle ACB = 40^(@), angle DPB = 120 ^(@), then find y.

    Text Solution

    |

  7. The bar graph as shown below gives information about the sale and prof...

    Text Solution

    |

  8. The bar graph as shown below gives information about the sale and prof...

    Text Solution

    |

  9. The bar graph as shown below gives information about the sale and prof...

    Text Solution

    |

  10. The bar graph as shown below gives information about the sale and prof...

    Text Solution

    |

  11. The bar graph as shown below gives information about the sale and prof...

    Text Solution

    |

  12. The pie chart,drawn, shows the spending of a country on various sports...

    Text Solution

    |

  13. The pie chart,drawn, shows the spending of a country on various sports...

    Text Solution

    |

  14. The pie chart,drawn, shows the spending of a country on various sports...

    Text Solution

    |

  15. The pie chart drawn below shows the spendings of a country on various ...

    Text Solution

    |

  16. The pie chart,drawn, shows the spending of a country on various sports...

    Text Solution

    |

  17. If 3 men and 4 women can build a wall in 43 days , in how many days ca...

    Text Solution

    |

  18. A man purchases an item at 4/5th of its selling price and sold it at 1...

    Text Solution

    |

  19. An insect flies from the corner A to corner B of a cubic room in 4 sec...

    Text Solution

    |

  20. A referigerator and a camera were sold for Rs. 12,000 each. The referi...

    Text Solution

    |