Home
Class 11
MATHS
Prove that sin (pi/14)sin((3pi)/14)sin((...

Prove that `sin (pi/14)sin((3pi)/14)sin((5pi)/14)=1/8`

Promotional Banner

Topper's Solved these Questions

  • Model Test Set-2

    UNITED BOOK HOUSE|Exercise Exercise|44 Videos

  • Nava Nalanda School, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |40 Videos

Similar Questions

Explore conceptually related problems

Prove that: sin^2(pi/(18))+sin^2(pi/9)+sin^2((7pi)/(18))+sin^2((4pi)/9)=2

sin ^(-1)tan ((3pi)/(4))

The value of sin (pi/14)sin(3pi/14)sin(5pi/14)sin(7pi/14)sin(9pi/14)sin(11pi/14)sin(13pi/14) is?

cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14) =

The value of sin ""pi/14 sin ""(3pi)/(14)sin ""(5pi)/14 sin ""(7pi)/(14) is-

"sin" pi/12 "sin" (5pi)/12=

Find the value of sin^2(pi/16)+ sin^2 ((3pi)/16)+sin^2 ((5pi)/16)+sin^2((7pi)/16) .

In triangle A B C , prove that sin(A/2)+sin(B/2)+sin(C/2)lt=3/2dot Hence, deduce that cos((pi+A)/4)cos((pi+B)/4)cos((pi+C)/4)lt=1/8

prove that "sin"^4pi/8+"sin"^4(3pi)/8+"sin"^4(5pi)/8+"sin"^4 (7pi)/8=3/2

Prove that "sin"pi/5"sin"(2pi)/5"sin"(3pi)/5"sin"(4pi)/5=5/(16)

UNITED BOOK HOUSE-NAVA NALANDA-EXERCISE
  1. Let X={0,-1,1,2,-2}and Y={0,1,2,3,4,6}f:XrarrYbe defined as f(x)=x^2+x...

    Text Solution

    |

  2. Prove that sinx+siny+sinz-sin(x+y+z)=4sin((x+y)/2)sin((y+z)/2)sin((z+x...

    Text Solution

    |

  3. Prove that sin (pi/14)sin((3pi)/14)sin((5pi)/14)=1/8

    Text Solution

    |

  4. Solve :|z|=z+bar(1-2i)

    Text Solution

    |

  5. In how many of the distinct permutaions of the letters in MISSISIPPI d...

    Text Solution

    |

  6. Solve :x^2-(3sqrt2-2i)x-6sqrt2i=0

    Text Solution

    |

  7. For any complex number z,prove that |Re(z)|+|Im(z)|le\sqrt 2 |z|

    Text Solution

    |

  8. Find the direction in which a straight line must be drawn through the ...

    Text Solution

    |

  9. Find the area of the triangle formed by the lines joingn the vertex of...

    Text Solution

    |

  10. Find the domain of definition of the function f(x)=1/(ln(1-x))+sqrt(x+...

    Text Solution

    |

  11. Prove that (AcupB)^c=A^c capB^c[without venn-diagram]

    Text Solution

    |

  12. Four digit number are formed by using the digits 1,2,3,4 and 5 wihout ...

    Text Solution

    |

  13. Find the mean deviation about the median for the following data:

    Text Solution

    |

  14. For any three sets A, B, C, Prove that A cap(BcupC)=(AcapB)cup (A cap ...

    Text Solution

    |

  15. A+B+C=pi,prove that sin^2(A/2)+sin^2(B/2)+sin^2(C/2)=1-2sin(A/2)sin(B/...

    Text Solution

    |

  16. Solve :tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3

    Text Solution

    |

  17. Using the principle of mathematical induction prove that 3^(2n+1)+2^(n...

    Text Solution

    |

  18. If alpha and beta are different complex numbers with |beta|=1, then fi...

    Text Solution

    |

  19. A question paper contains 12 questions divided into three parts.Parts...

    Text Solution

    |

  20. Prove that the inequations (2x+1)/(7x-1)>5and (x+7)/(x-8)>2have no sol...

    Text Solution

    |