Home
Class 12
MATHS
Let A and B denote the statements A : ...

Let `A and B` denote the statements
`A : cos alpha + cos beta + cos gamma =0`
`B : sin alpha + siin beta + sin gamma = 0`
If `cos(beta - gamma) + cos (gamma -alpha) + cos (alpha -beta) = - (3)/(2)`,
then

A

A is false and B is true

B

Both A and B are true

C

Both A and B are false

D

A is true and B is false

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|20 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

Let A and B denote the statements A: "cos"alpha+"cos"beta+"cos"gamma=""0 B : "sin"alpha+"sin"beta+"sin"gamma=""0 If cos(beta-gamma)""+""cos(gamma-alpha)""+""cos(alpha-beta)""=""""-(3//2) , then (1) A is true and B is false (2) A is false and B is true (3) both A and B are true (4) both A and B are false

cos alpha sin (beta-gamma) + cos beta sin (gamma-alpha) + cos gamma sin (alpha-beta)=

If cos alpha + cos beta + cos gamma = 0 and also sin alpha + sin beta + sin gamma= 0, then prove that: cos 3 alpha + cos 3beta + cos 3gamma = 3 cos (alpha + beta + 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

cos alphasin(beta-gamma)+cosbetasin(gamma-alpha)+cos gammasin(alpha-beta)=

If sin alpha+ sin beta+ sin gamma=3, then sin^3alpha+sin^3beta+sin^3 gamma=

Prove that : cos^2 (beta-gamma) + cos^2 (gamma-alpha) + cos^2 (alpha-beta) =1+2cos (beta-gamma) cos (gamma-alpha) cos (alpha-beta) .

If a=cos alpha+i sin alpha, b=cos beta+isin beta,c=cos gamma+i sin gamma and b/c+c/a+a/b=1, then cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=

If cos^(-1) alpha + cos^(-1) beta + cos^(-1) gamma = 3pi , then alpha (beta + gamma) + beta(gamma + alpha) + gamma(alpha + beta) equal to

If cos alpha+cos beta+cos gamma=0=sin alpha+sin beta+sin gamma , then (sin3alpha+sin3beta+sin3gamma)/(sin(alpha+beta+gamma)) is equal to

VMC MODULES ENGLISH-TRIGONOMETRIC IDENTITIES AND EQUATIONS -LEVEL -2
  1. If n=pi/(4alpha), then tan alpha tan 2alpha tan 3 alpha ... tan(2n-1)a...

    Text Solution

    |

  2. If cos(alpha+beta)sin(gamma+delta)="cos"(alpha-beta)"sin"(gamma-delta)...

    Text Solution

    |

  3. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

    Text Solution

    |

  4. If alpha, beta, gamma, delta satisfy the equation tan(x+(pi)/(4))=3 ta...

    Text Solution

    |

  5. in any triangle ABC, which is not right angled Sigma cosA.cosecB.cosec...

    Text Solution

    |

  6. If P(n) = cos^(n)theta +sin^(n)theta, then P(2) - P(1) is equal to :

    Text Solution

    |

  7. If tan^(2)x+secx -a = 0 has atleast one solution, then complete set of...

    Text Solution

    |

  8. 1/2tan(alpha/2)+1/4tan(alpha/4)+1/8tan(alpha/8)....1/2^ntan(alpha/2^n)...

    Text Solution

    |

  9. Suppose sin^3xsin3x=sum(m=0)^n Cmcosm x is an identity in x , where ...

    Text Solution

    |

  10. Find the ratio of greatest value of 2-cos x+ sin^(2)x to its least val...

    Text Solution

    |

  11. Find the number of solution for , sin 5 theta * cos 3 theta = sin 9 th...

    Text Solution

    |

  12. Find the roots of the equation x^2+7x-1=0

    Text Solution

    |

  13. If (1+tan1^(@)) *(1+tan2^(@))*(1+tan3^(@)) …….(1+tan45^(@)) = 2^(n), t...

    Text Solution

    |

  14. In a DeltaPQR, if 3 sin P+4 cos Q=6 and 4 sin Q+3 cos P=1, then the an...

    Text Solution

    |

  15. If U(n) = sin n theta*sec^(n)theta, V(n) = cosntheta*sec^(n)theta for ...

    Text Solution

    |

  16. If sinx+cosx+tanx+cotx+secx+cosecx = 7 and sin2x = a-bsqrt2, then orde...

    Text Solution

    |

  17. If sin^2A=x , then sinAsin2Asin3Asin4A is a polynomial in x , the sum ...

    Text Solution

    |

  18. 1/(cosalpha+cos3alpha)+1/(cosalpha+cos5alpha)....1/(cosalpha+cos(2n+1)...

    Text Solution

    |

  19. Range of f(x)=log(sqrt(5))(sqrt(2))(sinx-cosx)+3) is

    Text Solution

    |

  20. The equation 3^("sin"2x + 2"cos"^(2)x) + 3^(1-"sin"2x +2"sin"^(2)x) = ...

    Text Solution

    |