Home
Class 12
MATHS
If alpha , beta in (0,pi/2), sin alpha...

If ` alpha , beta in (0,pi/2), sin alpha =4/5 and cos ( alpha + beta) = ( -12)/(13)` then sin ` beta ` is equal to

A

`(63)/( 65 )`

B

`(61)/(65)`

C

`(5)/(13)`

D

`(8)/(65)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

IF cos ( alpha + beta ) =0 then sin ( alpha + 2 beta ) is equal to

IF cot ( alpha + beta ) =0 then sin ( alpha + 2 beta ) is equal to

Let alpha , beta be such pi lt alpha- beta lt 3 pi if sin alpha + sin beta = (-21)/(65) , and cos alpha Cos beta = (-27)/(65) then the value of cos ( alpha - beta)/(2) is

If cos alpha + cos beta = 1//2 and sin alpha+ sin beta = 1//3 , then

If cos alpha + cos beta =0 = sin alpha + sin beta , then cos 2 alpha + cos 2 beta is equal to

sin alpha+sinbeta=(1)/(4) and cos alpha+cos beta=(1)/(3) the value of sin(alpha+beta)

If sin beta is the G.M between sin alpha and cos alpha , then cos 2 beta is

If sin^(4)alpha+cos^(4)beta+2=4 sin alpha cos beta, 0 le alpha, (pi)/(2) , then (sin alpha+cos beta) is equal to

Evaluate {:[( cos alpha cos beta , cos alpha sin beta , -sin alpha ),( -sin beta , cos beta, 0),( sin alpha cos beta, sin alpha sin beta, cos alpha ) ]:} =0

If A(alpha, beta)=[("cos" alpha,sin alpha,0),(-sin alpha,cos alpha,0),(0,0,e^(beta))] , then A(alpha, beta)^(-1) is equal to

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. From the top of a tower the angle of depression of a point on ...

    Text Solution

    |

  2. If tan alpha = b/a, a gt b gt 0 and if 0 lt alpha lt (pi)/(4), th...

    Text Solution

    |

  3. If alpha , beta in (0,pi/2), sin alpha =4/5 and cos ( alpha + b...

    Text Solution

    |

  4. The number of solution of cos 2 theta = sin theta in (0, 2 pi) ...

    Text Solution

    |

  5. the value of tan 40^@ + tan 20^@ + sqrt(3) tan 20^@ tan 40^@ is...

    Text Solution

    |

  6. The period of the function f( theta ) = 4 + 4 sin ^3 theta -3 ...

    Text Solution

    |

  7. The value of x in ( 0, pi/2) satisfying the equation sin x cos ...

    Text Solution

    |

  8. The period of the function f(x) = | sin 2x | + | cos 8x | is

    Text Solution

    |

  9. the value of cos 20^@ + cos 100^@ + cos 140 ^@ is equal to

    Text Solution

    |

  10. if (-pi)/(2) lt theta lt pi/2 andn theta ne 0 pi/4 , then valu...

    Text Solution

    |

  11. If sin theta = 3 sin ( theta + 2 alpha), then the value of ...

    Text Solution

    |

  12. If alpha , beta , gamma in [0,pi] and if alpha , beta , gamma ...

    Text Solution

    |

  13. the value of 1/8 (3-4 cos 2 theta + cos 4 theta ) is

    Text Solution

    |

  14. IF 8 cos 2 theta + 8 sec 2 theta = 65 , 0 lt (pi)/(2) , then ...

    Text Solution

    |

  15. The value of sqrt(2) (cos 15^@ - sin 15^@ ) is equal to

    Text Solution

    |

  16. if cos x=-4/5 , where x in [ 0,pi] then the value of cos (x/2)...

    Text Solution

    |

  17. the value of sec^2 theta + cosec^2 theta is equal to

    Text Solution

    |

  18. if x in ((pi)/(2),pi) , then ( sec x-1)/( sec x+1) is equal to

    Text Solution

    |

  19. the value of sec ""(2pi)/(3) + cosec "" ( 5 pi)/(6) is equal to

    Text Solution

    |

  20. If ( sin x ) /( cos x) xx ( sec x )/( cosec x ) xx ( tan x )/...

    Text Solution

    |