Home
Class 12
MATHS
If alpha and beta be between 0 and (pi)/...

If `alpha and beta` be between `0 and (pi)/(2)and if cos(alpha+beta)=(12)/(13) and sin(alpha-beta=3/5,` then sin 2 `alpha` is equal to

A

`55/56`

B

`13/58`

C

`0`

D

`56/65`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If 0

If 0ltbetalt(pi)/(4),cos(alpha+beta)=(3)/(5) andcos(alpha-beta)=(4)/(5) , then sin 2alpha is equal to

If 0

cos(alpha-beta)=(3)/(5),sin(alpha+beta)=(5)/(13) then tan2 alpha

If cos(alpha+beta)=0 then sin^(2)alpha+sin^(2)beta

If cos alpha+cos beta=0=sin alpha+sin beta, then cos2 alpha+cos2 beta is equal to

" If cos(alpha+beta)=(3)/(5) sin(alpha-beta)=(5)/(13) and 0< alpha, beta < (pi)/(4) then tan(2 alpha) is equal to

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-1
  1. If sec theta=x+1/(4x), then tan theta +sec theta is equal to

    Text Solution

    |

  2. If theta is an angle given by cos theta = (cos ^(2) alpha + cos ^(2) ...

    Text Solution

    |

  3. If alpha and beta be between 0 and (pi)/(2)and if cos(alpha+beta)=(12)...

    Text Solution

    |

  4. The value of (1+cos (pi/6))(1+cos(pi/3))(1+cos ((2pi)/3))(1+cos((7pi...

    Text Solution

    |

  5. Period of (sin theta + sin 2 theta)/( cos theta + cos 2 theta) is

    Text Solution

    |

  6. Prove : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0.

    Text Solution

    |

  7. The value of tan 3 A - tan A is equal to

    Text Solution

    |

  8. Value of sin 47^(@) + sin 61^(@)- sin 11 ^(@)-sin 25 ^(@) is

    Text Solution

    |

  9. f(x)=(sin x^(7)) e^(x^(5)). Sgn( x^(9)) is:

    Text Solution

    |

  10. The value of (cot 54^(@))/(tan 36^(@)) + (tan 20^(@))/(cot 70^(@)) is

    Text Solution

    |

  11. If n=pi/(4alpha), then tanalpha tan 2alpha tan 3 alpha........tan(2n-1...

    Text Solution

    |

  12. Value of 2 sin ^(2) "" (pi)/(6) + cosec ^(2) "" (7pi)/(6) .cos^(2) "" ...

    Text Solution

    |

  13. If cos7theta=costheta-sin4theta, then the general value of theta is

    Text Solution

    |

  14. General solution of tan 5 theta =

    Text Solution

    |

  15. If cos theta + cos 2 theta + cos 3 theta = 0 then the general value ...

    Text Solution

    |

  16. Domain of the function f (x) = sqrt ((1)/( sin x )-1) is

    Text Solution

    |

  17. The solution of tan ^(2) 9x = cos 2x -1 is

    Text Solution

    |

  18. The number of points of intersection of the two curves y=2 sin x and...

    Text Solution

    |

  19. If sqrt3tan2theta+sqrt(3)tan3theta+tan2thetatan3theta=1 then the gener...

    Text Solution

    |

  20. If sin(pi cos theta) = cos(pi sin theta), then of the value cos(th...

    Text Solution

    |