Home
Class 12
MATHS
Prove that,cos^(3) alpha + cos^(3) (120^...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Correct Answere Type|5 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|35 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Show that, cos^(2)alpha + cos^(2) (120^(@) - alpha) + cos^(2) (120^(@) + alpha) = 3/2.

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

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

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

Prove that, cos alpha + cos(120^(@) + alpha) + cos (120^(@) - alpha) = 0

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

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

Prove that cos^2alpha+cos^2(120^@-alpha)+cos^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

In Delta ABC , prove that c cos (A - alpha) + a cos (C + alpha) = b cos alpha

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES-Long Answer Type Questions
  1. Prove that,tan (pi/4 + theta) + tan (pi/4 - theta) = 2 sec 2 theta

    Text Solution

    |

  2. Prove that,cos^(3) theta cos 3 theta + sin^(3) theta sin 3 theta = cos...

    Text Solution

    |

  3. Prove that,cos^(3) alpha + cos^(3) (120^(@) + alpha) + cos^(3) (240^(@...

    Text Solution

    |

  4. Prove that,tan 70^(@) - tan 50^(@) + tan 10^(@) = sqrt3

    Text Solution

    |

  5. Prove that,tan theta tan (pi/3 + theta)tan (pi/3 - theta) = tan 3 thet...

    Text Solution

    |

  6. Prove that,tan theta + 2 tan 2theta + 4 tan 4 theta + 8 cot 8 theta = ...

    Text Solution

    |

  7. Prove that,"cos" pi/11 "cos" (2pi)/11 "cos" (3pi)/11 "cos" (4pi)/11 "c...

    Text Solution

    |

  8. Prove that,If" " theta = (2pi)/7, " show that," sec theta + sec2 theta...

    Text Solution

    |

  9. Prove that,If " "15 theta = pi, "show that," cos theta cos2 theta cos3...

    Text Solution

    |

  10. If" " n tan alpha = (n+1) tan beta " then show that", tan (alpha - bet...

    Text Solution

    |

  11. If tan theta = cos2 alpha tan phi, prove that tan (phi - theta) = (ta...

    Text Solution

    |

  12. If tan theta = sec 2 alpha, "show that", sin 2 theta = (1-tan^(4) alph...

    Text Solution

    |

  13. Prove that,8 cos^(4) theta = 3 + 4 cos 2 theta + cos 4 theta

    Text Solution

    |

  14. Prove that,8 sin^(4) theta = 3 - 4 cos 2 theta + cos 4 theta

    Text Solution

    |

  15. Prove that,64cos^(3) theta sin^(4) theta = cos 7 theta - cos 5 theta -...

    Text Solution

    |

  16. Prove that,sin^(2)A cos^(4) A = 1/16 + 1/32 cos2A - 1/16 cos 4 A - 1/3...

    Text Solution

    |

  17. If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show th...

    Text Solution

    |

  18. If " "alpha " and " beta " are positive acute angles and " cos 2 alpha...

    Text Solution

    |

  19. "If " (tan x)/(tan y) = (1 + cos^(2) x)/(1 + sin^(2) x ) " show that "...

    Text Solution

    |

  20. If sin theta + sin 2 theta = a " and " cos theta + cos 2 theta = b, "...

    Text Solution

    |