Home
Class 11
MATHS
If Cot A Cot B = 2 & Cos (A+B) = 3/5 the...

If Cot A Cot B = 2 & Cos (A+B) = 3/5 then Sin A Sin B

A

`2//5`

B

`1//5`

C

`4//5`

D

`3//5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|46 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)|43 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise EXERCISE - I|28 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

Cot A +Cot B +cot C =

If sin A + cos B = a and sin B + cos A = b, then sin (A + B) is equal to

If Delta ABC , if cot A/2 , cot B/2 : cot C/2 = 4:3:2 , then a : b : c =

If tan A - tan B = x and cot A - cot B = y, then cot( A- B) =

If tan A + tan B=p and cot A+ cot B=q then cot (A+B)=

If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

AAKASH SERIES-COMPOUND ANGLES-EXERCISE - II
  1. If alpha + beta + lambda = (pi)/(2) and cot alpha, cot beta, cot lamb...

    Text Solution

    |

  2. If Sin x Cosy = 1/4 and 3Tanx = 4 Tany then Sin (x - y) =

    Text Solution

    |

  3. If Cot A Cot B = 2 & Cos (A+B) = 3/5 then Sin A Sin B

    Text Solution

    |

  4. If cos (A-B)=3//5 and tan A tan B=2 , then which one of the following...

    Text Solution

    |

  5. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

    Text Solution

    |

  6. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

    Text Solution

    |

  7. If (CosA)/(CosB)=nand(SinA)/(SinB)=m then (m^(2) - n^(2)) Sin^(2) B =

    Text Solution

    |

  8. If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then ...

    Text Solution

    |

  9. If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ), then tan(alpha-...

    Text Solution

    |

  10. If sin (120^(@) - alpha) = sin (120^(@) - beta) and 0 lt alpha,beta lt...

    Text Solution

    |

  11. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

    Text Solution

    |

  12. In a Delta ABC , if the angle C is obtuse, then tan A ta B =

    Text Solution

    |

  13. In a triangle ABC, fi Tan A + Tan B + Tan C = 6 and Tan A Tan B = 2 th...

    Text Solution

    |

  14. In Dleta ABC if Tan B = (2Sin ASinC)/(Sin(A+C)) then TanA, TanB, TanC ...

    Text Solution

    |

  15. In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the tri...

    Text Solution

    |

  16. Tan A + Tan B + Tan C - (sin(A+B+C))/(cosAcosBcosC)=

    Text Solution

    |

  17. Statement-I : If 0 lt alpha, beta lt pi/4, sin alpha =a/sqrt(1+a^(2)),...

    Text Solution

    |

  18. I : If x cos theta = y cos (120^@ + theta ) = z cos ( theta + 240^(@)...

    Text Solution

    |

  19. A =(cos 9^(@) - sin 9^(@))/(cos 9^(@) + sin 9^(@)) , B = (cos 21^(@) +...

    Text Solution

    |

  20. Assertion (A) : If cos(x-y) = 3 cos (x + y) then cotx cotx = 2 Reaso...

    Text Solution

    |