Home
Class 9
MATHS
If sin alpha + sin beta + sin gamma=3, "...

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

A

0

B

2

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Given , ` sin alpha+ sin beta + sin gamma=3`.
This is possible only if `sin alpha=sin beta =sin gamma=1`, i.e., if `alpha=beta=gamma=90^(@)`.
`:. Sin^(3)alpha+sin^(3)beta+sin^(4)gamma=1^(3)+1^(3)+1^(3)=3`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 1|30 Videos

  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL-3|19 Videos

Similar Questions

Explore conceptually related problems

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 cos alpha + cos beta + cos gamma = 3 then sin alpha + sin beta + sin gamma =

If cos alpha + cos beta+ cos gamma = 0 = sin alpha + sin beta+sin gamma show that sin^(2)alpha + sin^(2) beta + sin^(2) gamma =cos^(2)alpha +cos^(2) beta + cos^(2) gamma =3/2

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 + 2 cos beta +3 cos gamma = sin alpha + 2 sin beta + 3 sin gamma y = 0 , then the value of sin 3alpha + 8 sin 3beta + 27 sin 3gamma is

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

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

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

PEARSON IIT JEE FOUNDATION-TRIGONOMETRY -Level 2
  1. If sin alpha+ cos alpha=n, then sin^(6)alpha+ cos^(6)alpha in terms o...

    Text Solution

    |

  2. Find the value of (sin25^(@))/(cos35^(@))-(cos25^(@))/(sin35^(@))

    Text Solution

    |

  3. The value of (3 tan 30^(@)-tan^(3)30^(@))/(1- 3 tan^(2)30^(@)) is

    Text Solution

    |

  4. If cot^(4)x-cot^(2)x=1, then the value of cos^(4)x+cos^(2)x is

    Text Solution

    |

  5. If (cos (A-B))/(cos(A+B))=(8)/(3), then tanA*tanB is

    Text Solution

    |

  6. If A+B=45^(@), then find the value of tanA+tanB+tanA tanB.

    Text Solution

    |

  7. If cot theta+tan theta=2, then the value of tan^(2) theta- cot^(2) the...

    Text Solution

    |

  8. The value of cot5^(@)*cot15^(@)* cot 25^(@)* cot 35^(@)* cot45^(@) * c...

    Text Solution

    |

  9. The simplified form of sqrt(1+sin""((x)/(8))) is

    Text Solution

    |

  10. sin^(4) theta + cos^(4) theta in terms of sin theta is

    Text Solution

    |

  11. If tan(A-B)=1 and sinA(+B)=(sqrt(3))/(2), then find B.

    Text Solution

    |

  12. If sin beta + cos beta=(5)/(4), then find the value of sin beta * cos...

    Text Solution

    |

  13. If sin^(2)alpha+ sin alpha=1, then the value of cos^(4) alpha+ cos^(2)...

    Text Solution

    |

  14. If tanP+ cot P=2, then the value of tan^(n)P+ cot^(n)P is

    Text Solution

    |

  15. The value of sqrt(3) tan10^(@)+sqrt(3) tan 20^(@)+1 tan 10^(@)* tan 20...

    Text Solution

    |

  16. If tan(A+B)=1 and A(-B)=(1)/(sqrt(2)), then find A and B. The follo...

    Text Solution

    |

  17. If cos(A-B)=(1)/(2) and sin(A+B)=(sqrt(3))/(2), then find A and B T...

    Text Solution

    |

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

    Text Solution

    |

  19. sec^(4) theta-sec^(2)theta=

    Text Solution

    |

  20. sin theta + cos theta =sqrt(2), then sin^(16)theta =

    Text Solution

    |