Home
Class 12
MATHS
If alpha + beta + gamma, pi, then the v...

If `alpha + beta + gamma, pi, ` then the value of `sin ^(2) alpha + sin ^(2) beta - sin^(2) gamma `is equal to

A

`2 sin alpha sin beta sin gamma`

B

`2 sin alpha sin beta cos gamma`

C

`2 cos alpha cos beta sin gamma`

D

`2 cos alpha cos beta cos gamma`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (6) TRUE AND FALSE|8 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (6) FILL IN THE BLANKS|1 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (5) ( MULTIPLE CHOICE QUESTIONS)|26 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If sin alpha+sin beta+sin gamma=0=cos alpha+cos beta+cos gamma, then the value of sin^(2)alpha+sin^(2)beta+sin^(2)gamma, is

If alpha + beta- gamma= pi , prove that sin^(2)alpha + sin^(2)beta - sin^(2)gamma = 2sin alpha sin beta cos gamma .

If alpha+beta-gamma=pi , then sin^(2)alpha=sin^(2)beta-sin^(2)gamma is equal to

2tan ^ (2) alpha tan ^ (2) beta tan ^ (2) gamma + tan ^ (2) alpha tan ^ (2) beta + tan ^ (2) beta tan ^ (2) gamma + tan ^ (2) gamma tan ^ (2) alpha find the value of sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then (a) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / ( 2) (b) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / (4) (c) cos ^ (alpha) + cos ^ (2) beta + cos ^ (2) gamma = (3) / (2) (d) cos ^ (2) alpha + cos2 beta + cos2 gamma = -1

If sin alpha + sin beta + sin gamma=3, " then " sin^(3) alpha+ sin^(3)beta+ sin^(3) gamma= _________

cos alpha+cos beta+cos gamma=0sin alpha+sin beta+sin gamma=0 then the value of sin^(4)alpha+sin^(4)beta+sin^(4)gamma

If cos alpha, cos beta, cos gamma are the direction cosines of a line then the value of sin^(2) alpha + sin^(2) beta + sin^(2) gamma is__________

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (6) ( MULTIPLE CHOICE QUESTIONS)
  1. if A+B+C = pi then sin^(2)""(A)/(2)+sin^(2)""(B)/(2) + sin^(2)""(C )/...

    Text Solution

    |

  2. If A+B+C=180^(@), then prove that cos^(2)(A)/(2)+cos^(2)(B)/(2)+cos^(2...

    Text Solution

    |

  3. If alpha + beta + gamma, pi, then the value of sin ^(2) alpha + sin ^...

    Text Solution

    |

  4. If alpha+beta+gamma=2pi, prove that : cos^2 alpha + cos^2 beta + cos^2...

    Text Solution

    |

  5. In any triangle ABC, if ( sin A + sin B + sin C ) ( sin A + sin B - si...

    Text Solution

    |

  6. If A,B,C are the angles of a triangle, then sin^(2) A + sin^(2) B + si...

    Text Solution

    |

  7. cos^(2) A + cos^(2) B + cos^(2) C =

    Text Solution

    |

  8. sin^(2) A + sin ^(2) B +sin^(2) C =

    Text Solution

    |

  9. If A+B+C=pi , prove that : sin^2, A/2 + sin^2, B/2 -sin^2, C/2 =1-2 co...

    Text Solution

    |

  10. If : cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC is

    Text Solution

    |

  11. In a !ABC if sin A cos B = 1/4 and 3 tan A = B , then the triangle is

    Text Solution

    |

  12. If any /\ABC, tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

    Text Solution

    |

  13. If in a triangle ABC, tan A + tan B + tanC has the value 6, then the v...

    Text Solution

    |

  14. In a triangle ABC if tanA: tan B : tan C = 3:4:5 then the value of sin...

    Text Solution

    |

  15. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  16. If A+B+C=pi and A, B, C are acute positive angles and cotA cotB cotC =...

    Text Solution

    |

  17. In a DeltaABC, "the value of"cot""(A)/(2)cot""(B)/(2)cos""(C)/(2)is

    Text Solution

    |

  18. " If alpha=(2 pi)/(7) ,then the value of tan alpha tan2 alpha+tan2 alp...

    Text Solution

    |

  19. If x+y+z=pi //2, then tan y tan z + tan z tan x + tan x tan y =

    Text Solution

    |

  20. If x+y+z =pi //2, then cot x +cot y +cot z=

    Text Solution

    |