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

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

A

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

B

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

C

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

D

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

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

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

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

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

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

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

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )
  1. In DeltaABC,(sin 2A+ sin 2B+ sin 2C)/(sin A + sin B+ sin C)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In Delta ABC, (sin 2A + sin 2B+ sin 2C)/(cos A + cos B+ cos C-1)=

    Text Solution

    |

  5. If A, B , C are angles in a triangle, then prove that sin ^(2)A+ sin...

    Text Solution

    |

  6. If A+B+C=180^(@) " then " sin^(2) A - sin^(2)B-sin^(2)C=

    Text Solution

    |

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

    Text Solution

    |

  8. If A, B, C are angles in a triangle , then prove thatcos^(2)A+cos^(2...

    Text Solution

    |

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

    Text Solution

    |

  10. If A+B+C=180^@ " then " sin^(2)""(A)/(2)-sin^(2)""(B)/(2)+sin^(2)""(C)...

    Text Solution

    |

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

    Text Solution

    |

  12. In Delta ABC, cos^(2)""(A)/(2)+cos^(2)""(B)/(2)-cos^(2)""(C)/2=

    Text Solution

    |

  13. If A+B+C=180^(@) then prove the following: "cos"A/2+"cos"B/2+"cos"C/...

    Text Solution

    |

  14. If A, B, C are the angles in a triangle then prove that sin .(A)/(2)+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |