Home
Class 12
MATHS
If cos alpha+co beta=(3)/(2) and sin alp...

If `cos alpha+co beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta` is the arithmetic mean of `alpha and beta`, then `sin 2 theta` is equal to :

A

`(3)/(5)`

B

`(4)/(5)`

C

`(7)/(5)`

D

`(8)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

If cos alpha+cos beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta is the arithmetic mean of alpha and beta, then sin2 theta+cos2 theta is equal to

If cos alpha+cos beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta is the arithmetic mean of alpha and beta, then sin2 theta+cos2 theta is equal to:

If cos alpha + cosbeta=a, sinalpha + sinbeta=b and theta is the arithmetic mean between alpha and beta , then (sin2theta + cos 2theta) is equal to :

(cos alpha + cos beta) ^ (2) + (sin alpha + sin beta) ^ (2) =

If cos alpha+cos beta=a sin alpha+sin beta=balpha-beta=2 theta then (cos3 theta)/(cos theta)=

If alpha and beta satisfy sin alpha cos beta=-((1)/(2)), then the greatest value of 2cos alpha sin beta is

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -Questions from Previous Years. AIEEE/JEE Main Papers
  1. If 2cos theta+sin theta=1, (theta pi pi//2), then 7cos theta+6 sin the...

    Text Solution

    |

  2. If f(theta)=|(1, cos theta,1),(-sin theta,1,-cos theta),(-1, sin thet...

    Text Solution

    |

  3. If cos alpha+co beta=(3)/(2) and sin alpha+sin beta=(1)/(2) and theta ...

    Text Solution

    |

  4. In a Delta ABC, (a)/(b)=2+sqrt(3) and anglec=60^(@). Then the ordered ...

    Text Solution

    |

  5. If 0 le x lt 2pi, then the number of real values of x which satisfy t...

    Text Solution

    |

  6. If m and M are the minimum and the maximum values of 4+(1)/(2) sin^(2)...

    Text Solution

    |

  7. The number of x in [0, 2pi] for which |sqrt(2sin^(4)x+18cos^(2)x)-sqrt...

    Text Solution

    |

  8. The number of distinct real roots of the equation, Delta=|(cosx, sin...

    Text Solution

    |

  9. If A gt 0, B gt 0 and A+B=(pi)/(6), then the maximum value of tanA+ ta...

    Text Solution

    |

  10. Let P={theta : sin theta-cos theta=sqrt(2)cos theta} and Q={theta sin ...

    Text Solution

    |

  11. If 5(tan^(2)x-cos^(2)x)=2cos(2x)+9, then the value of cos(4x) is

    Text Solution

    |

  12. If the sum of all the solutions of the equations 8 cos x[cos(pi//6+x) ...

    Text Solution

    |

  13. For any theta in (pi//4, pi//2), the expression 3(sin theta-cos theta)...

    Text Solution

    |

  14. The value of cospi/2^(2).cospi/2^(3)……….cospi/2^(10).sinpi/2^(10) is

    Text Solution

    |

  15. If 0 le x lt pi//2 , then the number of values of x for which sin x-si...

    Text Solution

    |

  16. The sum of all values of theta in (0, pi//2) satisfying sin^(2)2theta+...

    Text Solution

    |

  17. Let alpha and beta be the roots of the quadratic equation x^(2)sin ...

    Text Solution

    |

  18. Let fk(x) = 1/k(sin^k x + cos^k x) where x in RR and k gt= 1. Then f4(...

    Text Solution

    |

  19. The maximum value of 3cos theta+5 sin(theta-pi//6) for any real theta ...

    Text Solution

    |

  20. If sin^(4)alpha+4cos^(4)beta+2=4sqrt(2) sin alpha cos beta, alpha, bet...

    Text Solution

    |