Home
Class 14
MATHS
The value of tan1^@ tan 2^@ tan 3^@ ......

The value of `tan1^@ tan 2^@ tan 3^@ ... tan 89^@` is

A

1

B

0

C

`sqrt(3)`

D

`(1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

Value of (tan 1^@ tan2^@ tan3^@...tan89^@) is :

The value of (tan 1^(@) tan 2^(@) tan 3^(@) … tan 89^(@) ) is

The value of tan1^(@)tan2^(@)tan3^(@)...tan89^(@) is

The value of tan1^(@)tan2^(@)tan3^(@)...tan89^(@) is

tan 1^@ tan2^@...tan 89^@=

Find the value of tan 1^@ tan 2^@ tan 3^@ ….tan 45^@ …..tan 88^@ tan 89^@

What is the value of tan 1^(@) tan 2^(@) tan 3^(@) .......... tan 89^(@) ?

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If (tantheta+cottheta)/(tantheta-cottheta)=2,(0^(@)lethetale90^(@)), t...

    Text Solution

    |

  2. If cos x + cos y =2, then the value of sinx + sin y is

    Text Solution

    |

  3. The value of tan1^@ tan 2^@ tan 3^@ ... tan 89^@ is

    Text Solution

    |

  4. The measure of the angles of a triangle are in the ratio 2 : 7 : 1...

    Text Solution

    |

  5. The value of tan 315^(@)cot(-405^(@)) is equal to

    Text Solution

    |

  6. If tan(alpha-beta)=1, sec(alpha+beta)=2/(sqrt(3) and alpha, beta are p...

    Text Solution

    |

  7. If tantheta+cottheta=2, then the value of tan^(n)theta+cot^(n)theta (0...

    Text Solution

    |

  8. The numerical value of cot 18^(@) (cot 72^(@) cos^(2) 22^(@) + (1)/...

    Text Solution

    |

  9. If tan15^(@)=2-sqrt(3) , the value of tan15^(@)cot75^(@)+tan75^(@)cot1...

    Text Solution

    |

  10. If x , y are acute angles , 0ltx+ylt90^(@)and sin(2x-20^(@))=cos(2y+...

    Text Solution

    |

  11. If angle A and angle B are complementary to each other,then the value ...

    Text Solution

    |

  12. sin^(2)5+sin^(2)6^(@)+ . . . +sin^(2)84^(@)+sin^(2)85^(@)=?

    Text Solution

    |

  13. The value of (sin 39^(@))/(cos 51^(@)) + 2 tan 11^(@) tan 31^(@) tan 4...

    Text Solution

    |

  14. If (cos^(2)theta)/(cot^(2)theta-cos^(2)theta)=3and0^(@)ltthetalt90^(@)...

    Text Solution

    |

  15. If A = tan11^(@)tan29^(@),B=2cot61^(@)cot79^(@) , then:

    Text Solution

    |

  16. If 0^(@)ltthetalt90^(@) , the value of sintheta+costheta is

    Text Solution

    |

  17. The expression (tan 57^@ + cot37^@)/(tan 33^@ + cot 53^@) is equal to

    Text Solution

    |

  18. The value of (cot30^(@)-cot75^(@))/(tan15^(@)-tan60^(@)) is

    Text Solution

    |

  19. The value of cottheta.tan(90^(@)-theta)-sec(90^(@)-theta)cosectheta+...

    Text Solution

    |

  20. If cos(3x-20^(@))=sin(3y+20^(@)) then the value of (x+y) is

    Text Solution

    |