Home
Class 12
MATHS
Show that :sin pi/7 *sin 2pi/7* sin3pi/7...

Show that :`sin pi/7 *sin 2pi/7* sin3pi/7 = sqrt7/8`

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

Show that: sin((2pi)/7)+ sin ((4pi)/7) + sin( (8pi)/7) = sqrt7/2 .

Prove that: sinpi/7+sin(2pi)/(7) + sin(8pi)/7 + sin(9pi)/7=0

Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin pi/7 * sin (3pi)/7 + sin (3pi)/7 * sin (5pi)/7 + sin (5pi)/7 * sin (pi)/7=f(cos (pi)/7). then find the value of f(2):

Prove that sin pi/14* sin 3pi/14* sin 5pi/14 ........... to 7 factors and 1/2^(6) ..

Show that int_(-pi//2)^(pi//2)sin^(7)xdx=0 .

show that sin (2 (pi) / (7)) + sin (4 (pi) / (7)) + sin (8 (pi) / (7)) = (sqrt (7)) / (2)

Prove that sin^(4) pi/8+ sin^(4) 3pi/8 + sin^(4) 5pi/8 + sin^(4) 7pi/8 = 3/2 .

The numerical value of sin pi/18 * sin 5pi/18* sin 7pi/18 is.............

sin(pi/18)sin(5 pi/18)sin(7 pi/18)

The value of sin""(pi)/(7)sin""(2pi)/(7)sin""(3pi)/(7), is

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If alpha = 2pi/7 prove that sec alpha + sec 2alpha + sec 3alpha = -4.

    Text Solution

    |

  2. Prove that sin pi/14* sin 3pi/14 * sin 5pi/14 = 1/8.

    Text Solution

    |

  3. Show that :sin pi/7 *sin 2pi/7* sin3pi/7 = sqrt7/8

    Text Solution

    |

  4. If u = sec theta + tan theta then tan theta in terms of u is.

    Text Solution

    |

  5. If sin x + cos x = m(ne pm 1) and sec x + cosec x = n then n in terms ...

    Text Solution

    |

  6. If alpha gt 0 such that tan(x + alpha) = tan x for all x in R then the...

    Text Solution

    |

  7. If theta = 5pi/9 the sign of the expression cos theta + sin theta is.

    Text Solution

    |

  8. If 5cos 2t + 12sin 2t = lambda sin(2t -tan^(-1)mu) where lambda, mu ar...

    Text Solution

    |

  9. If cos A = 3/4 then the value of 32sin( A/2)* sin (5A/2) is.

    Text Solution

    |

  10. If sin(theta + 3alpha) = 3sin(alpha - theta) then tan theta in terms o...

    Text Solution

    |

  11. If 0 lt beta lt alpha lt gamma and cos(alpha + beta) = 4/5, sin(alpha...

    Text Solution

    |

  12. If 4nalpha = pi then the numerical value tan alpha* tan 2alpha *tan 3...

    Text Solution

    |

  13. Let sin^(3)x* sin 3x = sum(m=0)^(n) cm cos mx be an identity in x wher...

    Text Solution

    |

  14. If (cos (alpha1- alpha2))/(cos (alpha1+ alpha2)) = (cos (alpha3+ alph...

    Text Solution

    |

  15. If sin x + sin y = a, cos x - cos y = b then the value of tan ((y-x)/2...

    Text Solution

    |

  16. The numerical value of sin^(2)5^circ + sin^(2)10^circ + sin^(2)15^circ...

    Text Solution

    |

  17. The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........

    Text Solution

    |

  18. The numerical value of sin pi/18 * sin 5pi/18* sin 7pi/18 is.............

    Text Solution

    |

  19. The numerical value of tan 20^circ* tan 40^circ* tan 80^circ =.

    Text Solution

    |

  20. The numerical value of tan 20^circ* tan 40^circ* tan 80^circ =.

    Text Solution

    |