Home
Class 10
MATHS
If 4 n alpha=pi, then find the value of ...

If `4 n alpha=pi`, then find the value of `tan alpha.tan 2 alpha.tan 3 alpha……………tan(2n-2)alpha.tan(2n-1)alpha`.

A

3

B

1

C

13

D

7

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STANDARD AND ALLIED ANGLES

    CENGAGE|Exercise Olympiad And NTSE Level Exercises|10 Videos
  • STANDARD AND ALLIED ANGLES

    CENGAGE|Exercise TEST YOURSELF (LEVEL 2)|8 Videos
  • SIMPLE AND SIMULTANEOUS EQUATIONS

    CENGAGE|Exercise TEST YOURSELF Multiple Choice Questions |40 Videos
  • TANGENTS TO CIRCLES

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |10 Videos

Similar Questions

Explore conceptually related problems

If 4n alpha = pi , then the value of tanalpha*tan2alpha*tan3alpha …..tan(2n-2)alphatan(2n-1)alpha is:

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

If tan alpha = sqrt3+2 , then the value of tan alpha - cot alpha is

If tan alpha = sqrt2 + 1 , the value of tan alpha- cot alpha is:

If 4nalpha = pi then the numerical value tan alpha* tan 2alpha *tan 3alpha ...... tan(2n -1)alpha = _____

The value of tan alpha+2tan(2 alpha)+4tan(4 alpha)+...+2^(n-1)tan(2^(n-1)alpha)+2^(n)cot(2^(n)alpha) is

CENGAGE-STANDARD AND ALLIED ANGLES-TEST YOURSELF (LEVEL 3)
  1. The value of (sin(180^(@)+theta)cos(90^(@)+theta)tan(270^(@)-theta)c...

    Text Solution

    |

  2. The value of (cos 135^(@)-cos 120^(@))/(cos 135^(@)+cos 120^(@)) is

    Text Solution

    |

  3. The value of 3tan^(2)45^(@)-sin^(2)60^(@)-1/2cot^(2)30^(@)+1/8sec^(2)4...

    Text Solution

    |

  4. The value of tan 1^(@)tan2^(2)tan3^(@)………….tan 87^(@) tan 88^(@)tan 89...

    Text Solution

    |

  5. Find the value of sin^(2)5^(@)+ sin^(2)10^(@)+ sin^(2)15^(@)+* * * +si...

    Text Solution

    |

  6. The value of "cos"^(2)(pi)/16+"cos"^(2)(3pi)/16+"cos"^(2)(5pi)/16+"c...

    Text Solution

    |

  7. The value of cot^(2)30^(@)-2cos^(2)60^(@)-3/4sin^(2)45^(@)-4sin^(2)3...

    Text Solution

    |

  8. The value of (sec 480^(@).cosec570^(@).tan330^(@))/(sin600^(@).cos660^...

    Text Solution

    |

  9. What is the value of the sin^(2) 6^(@) + sin^(2) 12^(@) + sin^(2) 18^(...

    Text Solution

    |

  10. The value of tan9^(@).tan27^(@).tan45^(@).tan63^(@)tan81^(@) is

    Text Solution

    |

  11. If 4 n alpha=pi, then find the value of tan alpha.tan 2 alpha.tan 3 al...

    Text Solution

    |

  12. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

    Text Solution

    |

  13. The value of "tan"^(2)(pi)/3+2"cos"^(2)(pi)/4+3"sec"^(2)(pi)/6+4"cos"^...

    Text Solution

    |

  14. The value "sin"(pi)/6"cos "0+"sin"(pi)/4+"sin"(pi)/3"cos"(pi)/6 is

    Text Solution

    |

  15. The value of (sin(-1))/(sec(180^(@)+A))-(tan(90^(@)+A))/(cotA)+(cos(...

    Text Solution

    |

  16. The value of (cos(90^(@)+A)sec(-A)tan(180^(@)-A))/(sec(180^(@)+A)sin...

    Text Solution

    |

  17. The value of sin10^(@)cos 80^(@)+cos10^(@)sin80^(@) is

    Text Solution

    |

  18. The value of x if tan^(2)45^(@)-sin^(2)30^(@)=xsin^(2)45^(@)tan60^(@) ...

    Text Solution

    |

  19. The value of x which satisfies the equationn x sin 60^(@)cos^(2)45^(@)...

    Text Solution

    |

  20. In DeltaABC, /ABC=60^(@),/ACB=45^(@) and BC=10cm. Find the altitude AD...

    Text Solution

    |