Home
Class 12
MATHS
1/2tan(alpha/2)+1/4tan(alpha/4)+1/8tan(a...

`1/2tan(alpha/2)+1/4tan(alpha/4)+1/8tan(alpha/8)....1/2^ntan(alpha/2^n) +cotalpha`

A

`(1)/(2^(n))tan""(alpha)/(2^(n))`

B

`(1)/(2^(n))cot""(alpha)/(2^(n))`

C

`(1)/(2^(n-1))tan""(alpha)/(2^(n))`

D

`(1)/(2^(n-1))cot""(alpha)/(2^(n))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|20 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

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

prove that : tan(alpha)+2 tan(2alpha) +4(tan4alpha)+8cot(8alpha) = cot(alpha)

If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=tan(alpha/2)tan(beta/2)tan(gamma/2) (b) tan(alpha/2)tan(beta/2)+tan(beta/2)tan(gamma/2)+tan(gamma/2)tan(alpha/2)=1 (c) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=-tan(alpha/2)tan(beta/2)tan(gamma/2) (d)none of these

Sum the series tan alpha tan (alpha+beta)+tan(alpha+beta)+tan(alpha+2beta)+tan(alpha+2beta)tan(alpha+3beta)+… to n terms

Suppose a sample space S consists of 4 elements, i.e., S={alpha_1, alpha_2, alpha_3, alpha_4} " where " alpha_1, alpha_2, alpha_3, alpha_4 are pair wise mutually exclusive. Which function defines a probability function on S? (1) P(alpha_1)=1/2, P(alpha_2)=1/3, P(alpha_3)=1/4, P(alpha_4)=1/4 (2) P(alpha_1)=1/4, P(alpha_2)=-1/2, P(alpha_3)=7/9, P(alpha_4)=1/3 (3) P(alpha_1)=1/2, P(alpha_2)=1/4, P(alpha_3)=1/8, P(alpha_4)=1/8 (4) P(alpha_1)=1/2, P(alpha_2)=1/4, P(alpha_3)=1/8, P(alpha_4)=0

Prove that tan alpha+2 tan 2 alpha+2^(2)tan^(2)alpha+..............+2^(n-1)tan2^(n-1)alpha+2^(@)cot2^(@)alpha=cotalpha

Statement I tan alpha+2tan 2 alpha+4 tan 4 alpha + 8 tan 8 alpha+16 cot 16 alpha=cot alpha Statement II cot alpha- tan alpha=2 cot 2 alpha

the expression (1+sin2alpha)/(cos(2alpha-2pi)tan(alpha-(3pi)/4))-1/4sin2alpha(cot(alpha/2)+cot((3pi)/2+alpha/2)) simplifies and reduces to

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

1/(tan3alpha-tanalpha)-1/(cot3alpha-cotalpha)=cot2alpha

VMC MODULES ENGLISH-TRIGONOMETRIC IDENTITIES AND EQUATIONS -LEVEL -2
  1. If alpha, beta, gamma, delta satisfy the equation tan(x+(pi)/(4))=3 ta...

    Text Solution

    |

  2. in any triangle ABC, which is not right angled Sigma cosA.cosecB.cosec...

    Text Solution

    |

  3. If P(n) = cos^(n)theta +sin^(n)theta, then P(2) - P(1) is equal to :

    Text Solution

    |

  4. If tan^(2)x+secx -a = 0 has atleast one solution, then complete set of...

    Text Solution

    |

  5. 1/2tan(alpha/2)+1/4tan(alpha/4)+1/8tan(alpha/8)....1/2^ntan(alpha/2^n)...

    Text Solution

    |

  6. Suppose sin^3xsin3x=sum(m=0)^n Cmcosm x is an identity in x , where ...

    Text Solution

    |

  7. Find the ratio of greatest value of 2-cos x+ sin^(2)x to its least val...

    Text Solution

    |

  8. Find the number of solution for , sin 5 theta * cos 3 theta = sin 9 th...

    Text Solution

    |

  9. Find the roots of the equation x^2+7x-1=0

    Text Solution

    |

  10. If (1+tan1^(@)) *(1+tan2^(@))*(1+tan3^(@)) …….(1+tan45^(@)) = 2^(n), t...

    Text Solution

    |

  11. In a DeltaPQR, if 3 sin P+4 cos Q=6 and 4 sin Q+3 cos P=1, then the an...

    Text Solution

    |

  12. If U(n) = sin n theta*sec^(n)theta, V(n) = cosntheta*sec^(n)theta for ...

    Text Solution

    |

  13. If sinx+cosx+tanx+cotx+secx+cosecx = 7 and sin2x = a-bsqrt2, then orde...

    Text Solution

    |

  14. If sin^2A=x , then sinAsin2Asin3Asin4A is a polynomial in x , the sum ...

    Text Solution

    |

  15. 1/(cosalpha+cos3alpha)+1/(cosalpha+cos5alpha)....1/(cosalpha+cos(2n+1)...

    Text Solution

    |

  16. Range of f(x)=log(sqrt(5))(sqrt(2))(sinx-cosx)+3) is

    Text Solution

    |

  17. The equation 3^("sin"2x + 2"cos"^(2)x) + 3^(1-"sin"2x +2"sin"^(2)x) = ...

    Text Solution

    |

  18. Solve the equation 4^(sin 2x+2 cos^2 x)+4^(1-sin 2 x+2 sin^2 x)=65

    Text Solution

    |

  19. If sec theta= x+1/(4x) then sec theta+ tan theta= (a) x, 1/(x), (b) 2x...

    Text Solution

    |

  20. If sin[(pi)/(4)cottheta] = cos[(pi)/(4)tantheta] then theta can be :

    Text Solution

    |