Home
Class 12
MATHS
If A+B+C=270^(@) then sin 2A+sin2B+sin2C...

If `A+B+C=270^(@)` then `sin 2A+sin2B+sin2C=`

A

`4sinA sin B sin C`

B

`4 cos A cos B cos C`

C

`-4sinA sin B sin C`

D

`-4cos A cos B cos C`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise EXERCISE -II|27 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

Statement: If sin A =sin B, cos A=cos B then A=2n pi +B Statement :II If A+B+C=90^(@) then sin 2A+sin 2B+sin 2C=sin A sin B sin C Which of the above statement is correct?

If A+B+C=180^(@)C then (sin 2A+sin 2B+sin 2C)/(cos A +cos B +cos C-1)=

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

If A+B+C=90^(@) then sin^(2)A+sin^(2)B+sin^(2)C=

If A+B+C=270^(@) then show that sin2A+sin2B-sin2C=-4sinAsinBcosC

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

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

If A+B+C= 180^(@) , then show that sin 2A+ sin 2B+ sin 2C =4 sin A sin B sin C .

AAKASH SERIES-TRANSFORMATIONS AND INDENTITIES-PRACTIVE EXERCISE
  1. If (sin A-sinC)/(cosC-cosA)=cotB then angles A,B,C are in

    Text Solution

    |

  2. sinx+siny=3/4 andsinx-siny=2/5 then (tan((x-y)/2))/(tan((x+y)/2))=

    Text Solution

    |

  3. tan theta tan (theta+60^(@))+tan theta tan (theta-60^(@))+tan (theta+6...

    Text Solution

    |

  4. cos(x-y)=3cos(x+y) then cotxcoty=

    Text Solution

    |

  5. (sin(alpha+beta))/(sin(alpha-beta))=(a+b)/(a-b) then (tan alpha)/(tan ...

    Text Solution

    |

  6. If sin 2 x=n sin 2y then (Tan (x+y))/(Tan(x-y))=

    Text Solution

    |

  7. If tan beta =cos theta tan alpha then "cot"^(2)(theta)/2=

    Text Solution

    |

  8. If Tan theta(1)=k cot theta(2) then(cos (theta(1)+theta(2)))/(cos (the...

    Text Solution

    |

  9. If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...

    Text Solution

    |

  10. If cos theta =(a cos phi+b)/(a+bcosphi) then ("tan"(theta)/2)/("tan"(p...

    Text Solution

    |

  11. In DeltaABC, (sin2A+sin2B+sin 2C)/(sinA+sinB+sinC)=

    Text Solution

    |

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

    Text Solution

    |

  13. If A+B+C=0^(@) then sin A +sin B+sin C=

    Text Solution

    |

  14. If A+B+C=270^(@) then sin 2A+sin2B+sin2C=

    Text Solution

    |

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

    Text Solution

    |

  16. cos 22^(@)+cos 78^(@)+cos80^(@)=

    Text Solution

    |

  17. Statement: If sin A =sin B, cos A=cos B then A=2n pi +B Statement :I...

    Text Solution

    |

  18. Statement I: cos 52^(@)+cos68^(@)+cos172^(@)=1/2 Statement II: 4sin ...

    Text Solution

    |

  19. A=sin78^(@)-sin18^(@)+cos132^(@) B=cos12^(@)+cos84^(@)+cos132^(@)+co...

    Text Solution

    |

  20. Assertion A: In DeltaABC, sum(cos A)/(sin B sin C)=2 Reasin(R):In Del...

    Text Solution

    |