Home
Class 12
MATHS
If (cos(theta(1)-theta(2)))/(cos(theta(1...

If `(cos(theta_(1)-theta_(2)))/(cos(theta_(1)+theta_(2)))+(cos (theta_(3)+theta_(4)))/(cos(theta_(3)-theta_(4)))=0` then
`tan theta_(1).tan theta_(2).tan theta_(3).tan theta_(4)=`

A

1

B

2

C

`-1`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise EXERCISE -I|15 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

If ( cos ( theta_1- theta_ 2 ))/(cos ( theta_1+ theta_2))+( cos ( theta_3 + theta_4))/( cos ( theta_3- theta_4))=0 , then tan theta_1 , tan theta_2 tan thet_3 tan theta_4=

If Tan theta_(1)=k cot theta_(2) then (cos (theta_(1)+theta_(2)))/(cos (theta_(1)-theta_(2)))=

If tan theta_1= k cot theta_2 " then " (cos (theta_1- theta_2))/(cos(theta_1+theta_2))=

If tan theta + tan 2theta = tan 3theta , then theta =

If Cos theta_(1) + Cos theta_(2) + Cos theta_(3) = 3 then Sin theta_(1) + Sin theta_(2) + Sin theta_(3) =

If tan theta + tan 2theta + tan 3theta = 0 then theta =

AAKASH SERIES-TRANSFORMATIONS AND INDENTITIES-EXERCISE -II
  1. m tan (theta-30)=n tan (theta+120) then (m+n)/(m-n)=

    Text Solution

    |

  2. If x/y=(cos A)/(cos B) then (xtannA+ytanB)/(x+y) is equal to

    Text Solution

    |

  3. If (cos(theta(1)-theta(2)))/(cos(theta(1)+theta(2)))+(cos (theta(3)+th...

    Text Solution

    |

  4. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

    Text Solution

    |

  5. sin alpha=sinbeta, cos alpha=cos beta then

    Text Solution

    |

  6. The vlaue of sinx+siny=a and cos x+cosy=b then cos(x-y)=

    Text Solution

    |

  7. (sin 7 theta+ 6 sin 5 theta+17sin 3 theta+12sin theta)/(sin 6 theta+5 ...

    Text Solution

    |

  8. If alpha+beta+gamma=2 theta then cos theta+cos(theta-alpha)+cos (the...

    Text Solution

    |

  9. If A+B+C=2S then cos^(2)S+cos^(2)(S-A)+cos^(2)(S-B)+cos^(2)(S-C)=

    Text Solution

    |

  10. If A+B+C=180^(@), then sin 2 A+sin 2B-sin2C=

    Text Solution

    |

  11. If A+B+C=90^(@) then cos^(2)A+cos^(2)B+cos^(2)C=

    Text Solution

    |

  12. If A+B+C=90^(@) then sin^(2)A+sin^(2)B+sin^(2)C=

    Text Solution

    |

  13. If A+B+C=90^(@) then cos^(2)A+cos^(2)B+cos^(2)C=

    Text Solution

    |

  14. If A+ B+C= 180^(@) " then " cos 2A+ cos 2B + cos 2C+ 1=

    Text Solution

    |

  15. If A+B+C=180^(@)C then (sin 2A+sin 2B+sin 2C)/(cos A +cos B +cos C-1...

    Text Solution

    |

  16. cos x+cos y=1/3,sinnx+siny=1/4 then sin(x+y)=

    Text Solution

    |

  17. Statement I: If A+B+C=pi and cos A =cos B cos C then cot B cot C=1/3 ...

    Text Solution

    |

  18. A=cos 20^(@)cos 40^(@) cos60^(@)cos 80^(@), B=cos6^(@)cos42^(@)cos66...

    Text Solution

    |

  19. Assertion (A): If x+y+z=xyz then sum((2x)/(1-x^(2)))=pi((2x)/(1-x^(2))...

    Text Solution

    |

  20. If cos x +cosy+cosalpha=0, sinx+siny+sinalpha=0 then cot((x+y)/2)=

    Text Solution

    |