Home
Class 12
MATHS
If n=pi/(4alpha), then tan alpha tan 2al...

If `n=pi/(4alpha),` then `tan alpha tan 2alpha tan 3 alpha ... tan(2n-1)alpha` is equal to (a) 1 (b) 1/2 (c) 2 (d) 1/3

A

0

B

1

C

`-1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alpha n in Z is equal to

tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

If alpha=pi/(14), then the value of (tanalphatan2alpha+tan2alphatan4alpha+tan4alphatanalpha) is 1 (b) 1//2 (c) 2 (d) 1//3

If alpha=[2pi]/7 then tanalphatan2alpha+tan2alphatan4alpha+tan2alphatan4alpha=

tanalpha.tan(60^@-alpha).tan(60^@+alpha)=tan3alpha

Prove: (2)/( cot alpha tan 2 alpha ) = 1 - tan ^(2) alpha.

If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is equal to (a) pi/(20) (b) pi/(30) (c) pi/(40) (d) pi/(60)

If alpha+beta=pi/4 then (1+tan alpha)(1+tan beta)=

(1+tan alpha tan beta)^2 + (tan alpha - tan beta)^2 =

if (1+tan alpha )(1+tan4 alpha ) =2 where alpha in (0 , pi/16 ) then alpha equal to

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If 0ltA lt(pi)/(6) and sinA+cosA=(sqrt7)/(2),"then" tan""(A)/(2)=

    Text Solution

    |

  2. Find the value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""...

    Text Solution

    |

  3. If n=pi/(4alpha), then tan alpha tan 2alpha tan 3 alpha ... tan(2n-1)a...

    Text Solution

    |

  4. The value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to

    Text Solution

    |

  5. For x in R, tanx+1/2tan""(x)/(2)+1/((2^2))tan""(x)/(2^(2))+...+(1)/(...

    Text Solution

    |

  6. If (tan3A)/(tanA)=k, then (sin3A)/(sinA)=

    Text Solution

    |

  7. If y=(sec^(2)theta-tantheta)/(sec^(2)theta+tantheta)'then

    Text Solution

    |

  8. If cosA=tanB, cos B=tanC, cosC=tanA, then sin A is equal to

    Text Solution

    |

  9. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

    Text Solution

    |

  10. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) 1 (b) ...

    Text Solution

    |

  11. If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...

    Text Solution

    |

  12. Find the minimum value of 9tan^2theta+4cot^2theta

    Text Solution

    |

  13. If x(1),x(2),x(3),...,x(n) are in A.P. whose common difference is alph...

    Text Solution

    |

  14. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

    Text Solution

    |

  15. If a(r+1)=sqrt(1/2 ( 1+a(r))), the prove that cos((sqrt(1-a(0)^(2))...

    Text Solution

    |

  16. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  17. The value of cos y cos (pi/2-x)-cos (pi/2 - y) cos x + sin y cos (pi/2...

    Text Solution

    |

  18. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  19. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

    Text Solution

    |

  20. If sin alpha -cos alpha = m, then the value of sin^6alpha+cos^6alpha i...

    Text Solution

    |