Home
Class 12
MATHS
If A+B+C=180^(@) " then " cos 3A + cos 3...

If `A+B+C=180^(@) " then " cos 3A + cos 3B+ cos 3C= `

A

`4 cos""(3A)/(2) cos""(3B)/(2) cos""(3C)/(2) `

B

`-4 cos""(3A)/(2) cos""(3B)/(2) cos""(3C)/(2) `

C

`1-4 cos""(3A)/(2) cos""(3B)/(2) cos""(3C)/(2) `

D

`1-4 sin""(3A)/(2) sin""(3B)/(2) sin""(3C)/(2) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 G ( VARIATION IN TRIGONOMETRIC FUNCTIONS )|67 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If A+B+C=180^(@) " then " cos A - cos B+ cos C =

If A+B+C=180^(@) " then " cos A + cos B+ cos C =

If A+ B+C= 180^(@) " then " cos 2A+ cos 2B + cos 2C+ 1=

If A+B+C=180^(@) then cos A+cos B-cosC=

If A + B + C = 180^(@) then P.T. cos A + cos (B - C) = 2 sin B sin C

If A+B+C=180^@ " then " cos^(@) A + cos^(2)B + cos^(2)C=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )
  1. If A, B, C are the angles in a triangle then prove that sin .(A)/(2)+...

    Text Solution

    |

  2. If A+B+C=180^@ " then " sin 3A+ sin 3B+ sin 3C=

    Text Solution

    |

  3. If A+B+C=180^(@) " then " cos 3A + cos 3B+ cos 3C=

    Text Solution

    |

  4. If A+B+C=180^@ then sin^(3) A cos (B-C) + sin^(3)B cos(C-A)+ sin^(3) ...

    Text Solution

    |

  5. If A+B+C=180^(@) " then " tan^(2) ""(A)/(2) + tan^(2)""(B)/(2) + tan^(...

    Text Solution

    |

  6. In Delta ABC , sum sin""(A)/(2) cos""((B-C)/(2))=

    Text Solution

    |

  7. In Delta ABC, if tan ""(A)/(2), tan""(B)/(2) , tan""(C)/(2) are in A.P...

    Text Solution

    |

  8. If A+B+C=pi and cos A = cos B cos C " then " cot B cot C =

    Text Solution

    |

  9. If A+B+C= 90^(@) " then " sin 2A+ sin 2B- sin 2C=

    Text Solution

    |

  10. If A+ B+C= 180^(@) " then " cos 2A+ cos 2B + cos 2C+ 1=

    Text Solution

    |

  11. If A+B+C=(pi)/(2), then prove that sin ^(2) A+ sin ^(2) B + sin ^(2) C...

    Text Solution

    |

  12. If A+B+C=90^(@) " then " cos^(2) A + cos^(2) B + cos^(2) C =

    Text Solution

    |

  13. If A+B+C=90^(@) " then " ( cos 2A + cos 2 B+ cos 2C-1)/( sin A sin B s...

    Text Solution

    |

  14. If A+B+C=0, then prove that sin 2A + sin 2B+ sin 2C=-4sin A sin B sin ...

    Text Solution

    |

  15. If A+B+C=0^@ " then " sin A + sin B + sin C =

    Text Solution

    |

  16. A + B+ C =0అయితే , cos^(2) A + cos^(2) B +cos^(2)C = 1+2 cos A cos B c...

    Text Solution

    |

  17. A + B+ C =0అయితే , cos^(2) A + cos^(2) B +cos^(2)C = 1+2 cos A cos B c...

    Text Solution

    |

  18. If A+B+C=(3pi)/(2), prove that cos 2A+ cos 2B+ cos 2C=1-4 sin A sin B ...

    Text Solution

    |

  19. If A+B +C = 270^@, then cos 2A + cos 2B +cos 2C +4sin A sin B sin C=

    Text Solution

    |

  20. If A+B+C=90^(@) then cos^(2)A+cos^(2)B+cos^(2)C=

    Text Solution

    |