Home
Class 12
MATHS
Prove that 8 sin20^(@) sin40^(@) sin80...

Prove that
`8 sin20^(@) sin40^(@) sin80^(@) = sqrt3`

Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|16 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Very Short Answer type Questions|14 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

Similar Questions

Explore conceptually related problems

2 sin 40^(@) sin 10^(@)=

Prove that sin 10^(@) + sin 50^(@)-sin70^(@)=0

Prove that tan20^(@) tan40^(@) tan80^(@) = sqrt3

Prove that cos20^(@) cos40^(@) cos80^(@) = 1/8

Prove that sin 20 ^(@) sin40^(@) sin 60^(@) sin 80^(@) = 3/16

Prove that sin19^(@) + sin41^(@) + sin83^(@) = sin23^(@) + sin37^(@) + sin79^(@)

Prove that sin 20^(@) + sin 140^(@)-cos 10 ^(@) =0

Prove that sin20^@sin40^@sin80^@=sqrt3/8

Prove that sin10^(@) + sin20^(@) + sin 40^(@) + sin 50^(@) = sin 70^(@) + sin 80^(@)

2sin40^@sin10^@ =

CHHAYA PUBLICATION-TRANSFORMATIONS OF SUMS AND PRODUCTS-Short Answer Type Questions
  1. Prove that cos24^(@) + cos 55^(@) + cos125^(@) +cos204^(@) + cos300^...

    Text Solution

    |

  2. Prove that cos20^(@) cos40^(@) cos80^(@) = 1/8

    Text Solution

    |

  3. Prove that 8 sin20^(@) sin40^(@) sin80^(@) = sqrt3

    Text Solution

    |

  4. Prove that tan20^(@) tan40^(@) tan80^(@) = sqrt3

    Text Solution

    |

  5. Prove that cos40^(@) cos80^(@) cos160^(@) = -1/8

    Text Solution

    |

  6. Prove that cos thetacos(60^(@)- theta)cos(60^(@)+theta) = 1/4 cos 3 ...

    Text Solution

    |

  7. Prove that 4 sin theta sin(pi/3 + theta) sin (pi/3-theta) = sin 3 th...

    Text Solution

    |

  8. Prove that cos alpha cos (120^(@) + alpha) cos (240^(@) + alpha) = 1...

    Text Solution

    |

  9. Find the value: sin 78^(@) - sin18^(@) + sin 30^(@) - sin42^(@)

    Text Solution

    |

  10. Find the value: sec20^(@) sec40^(@) sec80^(@)

    Text Solution

    |

  11. Find the value: sqrt3 cot20^(@) cot40^(@)cot80^(@)

    Text Solution

    |

  12. Find the value: 1/(2sin 10^(@))-2 sin 70^(@)

    Text Solution

    |

  13. Prove the following identities : 4 sin 23^(@) sin37^(@) sin 83^(@) =...

    Text Solution

    |

  14. Prove the following identities : cos2 A + cos 4A + cos 6A + cos8A =4...

    Text Solution

    |

  15. Prove the following identities : (sin(A+B) - 2 sin A + sin (A-B))/(c...

    Text Solution

    |

  16. Prove the following identities : (sin theta +sin 3 theta + sin 5 the...

    Text Solution

    |

  17. If 13theta =pi " show that"cos 3 theta + cos 5 theta + 2 cos theta co...

    Text Solution

    |

  18. If sin 2 alpha = 4 sin 2 beta, "show that", 5tan ( alpha -beta) = 3 ta...

    Text Solution

    |

  19. If sin A = m sin B, "prove that" "tan" (A-B)/2 = (m-1)/(m+1) "tan" (A+...

    Text Solution

    |

  20. If cos alpha = k cos beta , "show that", "tan" ( alpha+beta)/2 = ( 1-k...

    Text Solution

    |