Home
Class 11
MATHS
Show that sin^3alpha+sin^3(120^@+alpha)+...

Show that `sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alpha`

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPERS 2015

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

  • ANNUAL EXAMINATION QUESTION PAPERS 2017

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Prove that sin alpha + sin (120^(@) + alpha) + sin(240^(@)+ alpha)=0

Show that: sin^(3) alpha + sin^(3) (120^(@) + alpha) + sin^(3) (240^(@) + alpha)= - 3/4 sin 3 alpha

Prove that : sec alpha+ sec (120^(@)+ alpha) sec (120^(@)-alpha)=-3 sec 3 alpha

Prove that cos alpha cos (120^(@) + alpha) cos (240^(@) + alpha) = 1/4 cos 3 alpha

Prove that, sin^(2) alpha + sin^(2) (120^(@) - alpha) + sin^(2) (120^(@) + alpha) = 3/2

Prove that, 1/3 ( cos^(3) alpha sin 3 alpha + sin^(3) alpha cos 3 alpha) = 1/4 sin 4 alpha

Prove that, cos^(3) alpha + cos^(3) (120^(@) + alpha) + cos^(3) (240^(@) + alpha) = 3/4 cos 3 alpha

sin3alpha = 4 sin alpha sin(x+alpha)sin(x-alpha)

If p sin alpha = q sin (120^(@) + alpha) = r sin (240^(@) + alpha),"prove that", pq + qr +rp = 0

Find the general solution of the equation sin 3 alpha = 4 sin alpha sin(x + alpha) sin(x - alpha) , given sin alpha ne 0 .

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2016-EXERCISE
  1. For any three sets A,B and C prove that Acup(BcapC)=(AcupB)cap(AcupC)

    Text Solution

    |

  2. Find the value of 16cos(pi/15).cos((2pi)/15).cos((4pi)/15).cos((8pi)/1...

    Text Solution

    |

  3. Show that sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alp...

    Text Solution

    |

  4. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  5. If the P^(th)and q^(th)terms of an A.Pare a and b respectively,then sh...

    Text Solution

    |

  6. Find the probability of drawing 4 cards from a pack of 52 cards such t...

    Text Solution

    |

  7. Find the sum of n-terms of the following series:(x+1/x)^2+(x^2+1/x^2)^...

    Text Solution

    |

  8. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

    Text Solution

    |

  9. Find the equation of the circle passes through the points (4,3) and (-...

    Text Solution

    |

  10. Show that the area of the triangle formed by the lines y = m(1) x + c(...

    Text Solution

    |

  11. Find the value of cos B for the triangle formed by joining the points ...

    Text Solution

    |

  12. Evlauate lim(xrarr0)(cot2x-cosec2x)/x

    Text Solution

    |

  13. Find from the first principle,the derivative of f(x)=e^(x^2)at x=1.

    Text Solution

    |

  14. Prove the following by contradiciton ."The sum of a rational and an ir...

    Text Solution

    |

  15. Check the validity of the following compound propostions :"72 is a mul...

    Text Solution

    |

  16. Check the validity of the following compound propostions :"120 is a mu...

    Text Solution

    |

  17. Two students Anil and Ashima appeared is an examination. The probabili...

    Text Solution

    |

  18. Find the coefficient of variation of the following data:

    Text Solution

    |

  19. Find the general solution of x and y satisfying the equation 5sinx.cos...

    Text Solution

    |

  20. Find the domain of definition and range of the function f(x)=x/(1+x^2)...

    Text Solution

    |